Generalised stability of ultraproducts of finite residue rings

We study ultraproducts of finite residue rings $\underset{n\in\mathbb{N}}{\prod}\mathbb{Z}/n\mathbb{Z} \diagup \mathcal{U} $ where $\mathcal{U}$ is a non-principal ultrafilter. find sufficient conditions the ultrafilter to determine if resulting ultraproduct \mathcal{U}$ has simple, NIP, NTP2 but not simple nor or TP2 theory, noting that all these four cases occur.