2010 AIME I Problem 10

Let N be the number of ways to write 2010 in the form 2010 = a_3 \cdot 10^3 + a_2 \cdot 10^2 + a_1 \cdot 10 + a_0, where the a_i's are integers, and 0 \le a_i \le 99. An example of such a representation is 1\cdot 10^3 + 3\cdot 10^2 + 67\cdot 10^1 + 40\cdot 10^0. Find N.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.