NcorpiON integrates collisional and fragmenting systems of planetesimals or moonlets orbiting a central mass. It features a fragmentation model, based on crater scaling and ejecta models, that realistically simulates a violent impact. Written in C, the code detects collisions, computes mutual gravity, and can resolve a collision by fragmentation. The fast multipole expansions are implemented up to order six to allow for a high precision in mutual gravity computation.