$\mathbb{Z}[i]$-modules with 101 elements and cyclic $\mathbb{Z}[i]$-torsion modules

Question

Well I am solving old exam tests and I am confused. It is asking to find two non-isomorfic $\mathbb{Z}[i]$-modules with 101 elements each, but I think this can't happen because as abelian groups both will be isomorfic to $\mathbb{Z}_{101}$. It also refers to cyclic $\mathbb{Z}[i]$-torsion modules, but $\mathbb{Z}[i]$ is a PID, so every torsion module isn't free (as a cyclic module would be). Where am I wrong?