  In this paper, a preliminary correspondence between the thermodynamic
curvature and the isoperimetric theorem is established from a $4$-dimensional
ultraspinning black hole. We find that the thermodynamic curvature of
ultraspinning black hole is negative which means the ultraspinning black hole
is likely to present an attractive between its molecules phenomenologically if
we accept the analogical observation that the thermodynamic curvature reflects
the interaction between molecules in a black hole system. Meanwhile we obtain a
general conclusion that the thermodynamic curvature of the extreme black hole
of the super-entropic black hole has a (positive or negative) remnant
approximately proportional to the reciprocal of entropy of the black hole.
