The Earth Intercepts 1 $\degree$ C to Reach 100 $\degree$ C, If None of the Energy Was Radiated or Reflected

Multiple Choice

The Earth intercepts 1.27 * 1017 W of radiant energy from the sun. Suppose the Earth, of volume 1.08 * 1021 m3, was composed of water. How long would it take for the Earth at 0 $\degree$ C to reach 100 $\degree$ C, if none of the energy was radiated or reflected back out into space?

A) 26.9 y
B) 113 y
C) 2.69 * 104 y
D) 1.13*105 y
E) 2.69 *107 y