remainder

note that 201120112011 is divisible by 7...
so the given expression can be written as
201120112011 x 10²⁰⁰⁵+201120112011 x 10¹⁹⁹⁹+201120112011 x 10¹⁹⁹³..........+201120112011 x 10⁴+2011...

all the terms in the given expression are divisible by 7 except the last term....
so remainder is 2011 mod 7 which is 2...