Can someone tell me if my bike is rare?
Sorry it doesn't look like anything particularly special.

The rear wheel is very likely a freewheel as opposed to a more modern cassette and freehub.  That means you're unlikely to find a replacement that has much bigger or smaller gears, so its hard to ride up steep grades, and its easy to spin out riding fast in a tailwind.

Fortunately it appears to have normal plastic platform pedals.  Many Chinese folding bikes have folding pedals, which are okay for gentle riding.  You shouldn't stand on folding pedals, and they have a disconcerting flex under load.

The frame looks like steel, confirm that with a magnet.

The hinge clamps look to be threadded, which is a bit more reassuring than a bifold clamp like some bikes have.

In short it looks like a loverly bike, ride it and enjoy it, and you can use busses or trains or cars for part of your journey, and then ride the last bit.