  As the closest galaxy cluster, the Virgo Cluster is an exemplary environment
for the study of large-scale filamentary structure and physical effects that
are present in cluster outskirts but absent from the more easily studied inner
regions. Here, we present an exploration of the SRG/eROSITA data from five
all-sky surveys. eROSITA allows us to resolve the entire Virgo cluster and its
outskirts on scales between 1 kpc and 3 Mpc, covering a total area on the sky
of about 25 by 25 degrees. We utilize image manipulation techniques and surface
brightness profiles to search for extended emission, surface brightness edges,
and features in the outskirts. We employ a method of comparing mean and median
profiles to measure gas clumping beyond the virial radius. Surface brightness
analysis of the cluster and individual sectors of the cluster reveal the full
extent of previously identified cold fronts to the north and south. The
emissivity bias due to gas clumping, which we quantify over three orders of
magnitude in radial range, is found to be mild, consistent with previous
findings. We find an estimated virial gas mass of $M_{\mathrm{gas},r<r_{200}} =
(1.98 \pm 0.70) \times 10^{13}$ M$_\odot$. Through imaging analysis we detect
the presence of extended emission spanning 320 kpc to the southwest of M49. The
extension has a significance of 3.15sigma and is coincident with radio emission
detected with LOFAR, which could be evidence of an accretion shock or turbulent
re-acceleration as the background W' cloud or M49 group falls into the cluster
and interacts with the ICM.
