Let F(p) be the number of different rational numbers X in the range (0,1) such that when X is written as an irreducible fraction, the numerator and denominator sum to $10^p$. In other words, if $X=a/b$, such that a and b are coprime, and $a+b=10^p$

Find summation F(i) from i=1 to i=$10^{10}$ , modulo $10^9+7$.