The black ceramic provides a path for magnetic fields. By having somewhat less material, the inductance value will be lower.
It's probably not far out of tolerance (-20%, maybe?), which I would guess is still close enough for the nearby components. But it might not be, hence my warning.
"102" is most likely 1mH. The current rating will be determined by the wire size... which is determined by how big the thing is to begin with. What diameter and height is it?
You could also check DC resistance, but it's probably under an ohm, so you'd need a special meter to be sure.
The package is a standard format from e.g. Bourns, etc. and probably costs under $1 (you'll spend more on shipping and handling).
Tim