Unleashing American Innovators Act of 2021 This bill modifies the responsibilities of U.S. Patent and Trademark Office (PTO) satellite offices, increases the discount on patent-related fees for small and micro entities, and addresses related issues. Specifically, the bill modifies the statutory purpose of PTO satellite offices to include outreach and retention activities targeting underrepresented groups and individuals from economically, geographically, and demographically diverse backgrounds. For each satellite office established after January 1, 2021, the PTO must consider the office's proximity to anchor institutions (e.g., hospitals primarily serving veterans and institutions of higher education) and populations that are underrepresented in patent filings, including rural populations. The PTO must establish (1) a satellite office in the southeastern United States within three years of this bill's enactment, (2) at least two community outreach offices in each region of the United States within five years of this bill's enactment, and (3) a pilot program to help prospective first-time patent applicants assess the viability of a potential patent application. The PTO must also (1) conduct and report to Congress a study on patent pro bono programs, including whether such programs are sufficiently serving underrepresented groups; and (2) use the study's findings to update such pro bono programs.