The research on the disorder of quantum system plays a very important role in the field of quantum information, which has been widely concerned by many theoretical and experimental researchers. However, it is very difficult to study the disorder of atoms confined in microcavity due to their complex nonlocal space-time evolution characteristics. To solve this problem, we present a method to study the internal disorder of hydrogenic atoms confined in microcavity, that is, to characterize and investigate the disorder of the confined system by using the quantum information entropy and shape complexity of the system. The Shannon information entropy and shape complexity in position space and momentum space (<i>S<sub>r</sub></i>、<i>S<sub>p</sub></i>、<i>C</i>[<i>r</i>]、<i>C</i>[<i>p</i>]) are calculated and analyzed for different quantum states of hydrogenic atom in InN dielectric spherical microcavity, and pay special attention to explore the influence of quantum confinement effect on the disorder of the system. The results show when the radius of the spherical microcavity is very small, the quantum confinement effect is more significant, and a series of extreme points appear in the shape complexity curve of the system, which is caused by the combing interaction of information entropy and spatial inhomogeneity. With the increase of the radius of the spherical cavity, the effect of quantum confinement gets weakened, and the Shannon information entropy and shape complexity of the confined hydrogenic atom are similar to that of the hydrogenic atom in free space. Our work provides an effective method to study the internal disorder of a confined quantum. This work provides an effective method for the study of the internal disorder of confined quantum systems and provides a certain reference for the information measurement of confined quantum systems.