AHSME 1999 Problem 6

What is the sum of the digits of the decimal form of the product $2^{1999}\cdot 5^{2001}$? $\textbf{(A)}\ 2 \textbf{(B)}\ 4 \textbf{(C)}\ 5 \textbf{(D)}\ 7 \textbf{(E)}\ 10$