  We investigate the anomalous flux state of interacting higher-order
topological superconductors (HOTSC) protected by rotation symmetries. By
introducing a $\pi$ superconducting flux in 2D HOTSC, we demonstrate the
existence of a robust zero mode trapped at the flux center. Remarkably, the
rotation symmetry and fermion parity display projective representation inside
the $\pi$ flux with $N=2$ supersymmetry algebra. A similar gapless flux pattern
also exists in 3D HOTSCs, the flux lines of which carry anomalous helical modes
that cannot be realized on purely one-dimensional lattice models. Notably,
these exotic phenomena can be manifested in a 2D frustrated quantum magnet
whose low energy excitation characterizes emergent Majoranas with HOTSC band
structure and the $Z_2$ flux exhibiting supersymmetries.
