Rolex model or reference numbers are listed on the certificates Rolex issues, but its also available on the watch case itself. You will have to remove the bracelet to find it. The reference/model number is engraved between the lugs on the 12 oclock side where the bracelet meets the watch case as pictured below.

Are Rolex serial numbers registered?

The numbers are engraved on the case, right between the lugs. Nearest the 12 oclock position is the reference number, and nearest the 6 oclock position is the serial number. Typically, Rolex owners register their serial numbers with Rolex USA and are able to report it as lost or stolen.

What does Oyster Perpetual mean?

The first waterproof watch case Rolex made was the Oyster. Perpetual refers to the perpetually winding rotor inside every Rolex watch. Its why you never find the word Automatic on the dial – it would just be redundant. At its core, the OP is quintessential Rolex.