Can a new PET tracer reveal hidden immune clues in tumors?

Copied word for word from the study's registry entry, so the wording is the study team's rather than ours.

Inclusion Criteria: * All subjects must have the ability to understand and the willingness to sign a written informed consent * Ability to undergo standard PET imaging * Plan to be treated with immunotherapy * Karnofsky performance status (KPS) \>= 50% * Absolute neutrophil count (ANC) \>= 1000/mm\^3 * Platelet count \>= 50/mm\^3; platelet transfusions to help patients meet eligibility criteria are not allowed within 7 days before study enrollment * Total bilirubin =\< 1.5 x the upper limit of normal (ULN) * Alanine aminotransferase (ALT) and aspartate aminotransferase (AST) =\< 3 x ULN * Calculated creatinine clearance \>= 30 mL/min * Woman of childbearing potential must be practicing a highly effective method of birth control consistent with local regulations regarding the use of birth control methods for subjects participating in clinical studies: e.g., established use of oral, injected or implanted hormonal methods of contraception; placement of an intrauterine device or intrauterine system; barrier methods; condom with spermicidal foam/gel/film/cream/suppository or occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam/gel/film/cream/suppository; male partner sterilization; true abstinence (when this is in line with the preferred and usual lifestyle of the subject) during and after the study (6 months after the last dose of 64Cu-anti-PD1 \[pembrolizumab\]-N-hydroxysuccinimide \[NHS\]-DOTA for women) * A man who is sexually active with a woman of childbearing potential and has not had a vasectomy must agree to use a barrier method of birth control, e.g., either condom with spermicidal foam/gel/film/cream/suppository or partner with occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam/gel/film/cream/suppository, and all men must also not donate sperm during the study and for 6 months after receiving the last dose of study drug Exclusion Criteria: * Prior exposure to pembrolizumab or other anti-PD1 therapy * Unable to tolerate PET scan * Any condition that would, in the investigator's judgement, contraindicate the patient's participation in the clinical study due to safety concerns with clinical study procedures * Female patients who are lactating or have a positive pregnancy test during the screening period * Infection requiring systemic antibiotic therapy within 14 days prior to start of study treatment * Subject is receiving concurrent chemotherapy or biologic or hormonal therapy for cancer treatment. Subject is receiving bone marrow stimulatory factors (e.g., granulocyte-macrophage colony-stimulating factor \[GM-CSF\]). Note: Concurrent use of hormones for noncancer-related conditions (e.g., insulin for diabetes) is acceptable * Patients who have had chemotherapy or radiotherapy within 4 weeks (6 weeks for nitrosoureas or mitomycin C) prior to entering the study * Vaccination with live attenuated vaccines within 4 weeks of study agent administration * Subject is currently using or has used immunosuppressive medication within 14 days prior to the study agent administration * Intranasal, topical, inhaled, or local steroid injections (e.g., intra-articular injection) * Chronic systemic corticosteroids at physiologic doses not to exceed 10 mg/day of prednisone or equivalent * Steroids as premedication for hypersensitivity reactions (e.g., infusion-related reactions, computed tomography \[CT\] scan premedication) * Subject has plasma cell leukemia, Waldenstrom's macroglobulinemia, POEMS syndrome (polyneuropathy, organomegaly, endocrinopathy, monoclonal protein, and skin changes), or primary amyloidosis * Subject has known chronic obstructive pulmonary disease (COPD) with a forced expiratory volume in 1 second (FEV1) \< 50% predicted normal. Note that FEV1 testing is required for patients suspected of having COPD and subjects must be excluded if FEV1 \< 50% * Subject has known allergies, hypersensitivity, or intolerance to monoclonal antibodies or human proteins, or their excipients * Subject has history of primary immunodeficiency * Subject is positive for human immunodeficiency virus (HIV-1), chronic or active hepatitis B, or active hepatitis A or C * Prospective participants who, in the opinion of the investigator, may not be able to comply with all study procedures (including compliance issues related to feasibility/logistics)