By T-dualizing space-filling D-branes, we obtain black hole bound states living in a universe with a gauged spatial reflection symmetry. We call these objects "orientiholes". The gravitational entropy of orientihole configurations provides an estimate of the number of vacua in various sectors of the IIB landscape. Basic physical properties of orientiholes provide a useful alternative picture on a number of issues arising in D-brane model building. More generally, we give orientihole generalizations of recently derived wall crossing formulae, and conjecture a relation to the topological string analogous to the OSV conjecture, but with a linear rather than a quadratic identification of partition functions.