AMC 10 2021-fall-a Problem 5

The six-digit number $\underline{2}\,\underline{0}\,\underline{2}\,\underline{1}\,\underline{0}\,\underline{A}$ is prime for only one digit $A.$ What is $A?$ $\textbf{(A)}\ 1 \textbf{(B)}\ 3 \textbf{(C)}\ 5 \textbf{(D)}\ 7 \textbf{(E)}\ 9$