The
type specimen were collected near
Huacachi, Peru, at an altitude of .
Peperomia drapeta is a moderately small, diffuse, tree-dwelling herb. When dry, the somewhat slender, angled
stem is 1–2 mm thick, with densely interwoven branches, the sterile tips of which are crisp-villous. The alternate
leaves are round to ovate and somewhat acuminate, with the longer leaves having a somewhat acute base. They are small, measuring 1–3.5 cm long and 1.5–2 cm wide, and are somewhat opaque when dry. The leaves are
3–5-nerved, with crisp pubescence above or
glabrescent except on the nerves. The depressed-pilose
petiole is about 1 cm long. The terminal and
axillary spikes are 30–50 mm long and 1 mm thick, with loosely arranged
flowers, and are borne on a 5 mm
peduncle that is sparsely soft-pilose to glabrate. The
berries are rounded-ovoid, mucronate, with a subapical
stigma. ==Taxonomy and naming==