  A black hole is superentropic if it violates the reverse isoperimetric
inequality. Recently, some studies have indicated that some four dimensional
superentropic black holes have the null hypersurface caustics (NHC) outside
their event horizons. In this paper, we extend to explore whether or not the
NHC exists in the cases of high dimensional superentropic black holes. We
consider the singly rotating Kerr-AdS superentropic black holes in arbitrary
dimensions and the singly rotating charged superentropic black hole in
five-dimensional minimal gauged supergravity, and find that the NHC exists
outside the event horizons for these superentropic black holes. Furthermore,
the spacetime dimensions and other parameters of black hole, such as the
electric charge, have important impact on the NHC inside the horizon. Our
results indicate that when the superentropic black hole has the Cauchy horizon,
the NHC will also exist inside the Cauchy horizon.
