  We study the Villain representation of the two-dimensional disordered boson
Hubbard model via Monte Carlo simulations. It is shown that the probability
distribution of the local susceptibility has a 1/\chi^2-tail in the Bose glass
phase. This gives rise to a divergence although particles are completely
localized here as we prove with the help of the participation ratio. We
demonstrate the presence of an incompressible Mott lobe within the Bose glass
phase and show that a direct Mott-insulator to superfluid transition happens at
the tip of the lobe. Here we find critical exponents z=1, \nu~0.7$ and
\eta~0.1, which are reminiscent of the pure three-dimensional classical XY
model.
