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

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