  We present a multi-wavelength analysis of the host galaxy of short-duration
gamma-ray burst (GRB) 150101B. Follow-up optical and X-ray observations
suggested that the host galaxy, 2MASX J12320498-1056010, likely harbors a
low-luminosity active galactic nuclei (AGN). Our modeling of the spectral
energy distribution (SED) has confirmed the nature of the AGN, making it the
first reported GRB host that contains an AGN. We have also found the host
galaxy is a massive elliptical galaxy with stellar population of $\sim 5.7\
Gyr$, one of the oldest among the short-duration GRB hosts. Our analysis
suggests that the host galaxy can be classified as an X-ray bright, optically
normal galaxy (XBONG), and the central AGN is likely dominated by a radiatively
inefficient accretion flow (RIAF). Our work explores interesting connection
that may exist between GRB and AGN activities of the host galaxy, which can
help understand the host environment of the GRB events and the roles of AGN
feedback.
