AMC 10B 2011 Problem 10

Consider the set of numbers \left\{1,10,10^{2}, 10^{3}, \ldots, 10^{10}\right\}. The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?

Answer Choices
A. 1
B. 9
C. 10
D. 11
E. 101