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Ultra-long-duration gamma-ray burst GRB 111209A was found to be associatedwith a very luminous supernovae (SNe) SN 2011kl. The physics of GRB 111209A/SN2011kl has been extensively studied in the literures, but does not settle downyet. By investigating in detail the characteristics of the X-ray light curve ofGRB 111209A, coupled with the temporal and spectral features observed in SN2011kl, we argue that a short-living supramassive magnetar can be responsiblefor the initial shallow X-ray emission. Then the electromagnetic extraction ofspin energy from a black hole results in the steeply declining X-ray flux whenthe magnetar collapses into a black hole (BH). A fraction of the envelopematerials falls back and activates the accretion onto the newborn BH, whichproduces the X-ray rebrightening bump at late times. During this process, acentrifugally driven baryon-rich quasi-isotropic Blandford \& Payne outflowfrom the revived accretion disk deposits its kinetic energy on the SN ejecta,which powers luminous SN 2011kl. Finally, we place a limitation on themagnetar's physical parameters based on the observations.

GRB 111209A/SN 2011kl: Collapse of a supramassive magnetar with r-mode oscillation and fall-back accretion onto a newborn black hole