iQuantum groups (iQG) arise from quantum symmetric pairs associated with Satake diagrams, and they form a generalization of Drinfeld-Jimbo quantum groups. The icanonical basis of a modified iQG was constructed jointly with Huanchen Bao several years ago, and the categorification of modified quasi-split iQG is just completed joint with Jon Brundan and Ben Webster. In this talk, we shall explain the basics of a modified iQG, idivided powers and its categorification, focusing on the rank one cases.