AMC 12 2018b Problem 9

What is $$\sum^{100}_{i=1} \sum^{100}_{j=1} (i+j) ?$$

$\textbf{(A) }100{,}100 \textbf{(B) }500{,}500 \textbf{(C) }505{,}000 \textbf{(D) }1{,}001{,}000 \textbf{(E) }1{,}010{,}000$