Let p_{1}=2012 and p_{n}=2012^{p_{n-1}} for all n>1. Find the largest integer k such that p_{2012}-p_{2011} is divisible by 2011^{k}.
Let p_{1}=2012 and p_{n}=2012^{p_{n-1}} for all n>1. Find the largest integer k such that p_{2012}-p_{2011} is divisible by 2011^{k}.