Ok so this appears to be a 1982 small date zinc that has been struck with a mirrored strike of "liberty" and "IN GOD WE TRUST" with some strangeness on the reverse. What in the world happened with this coin? Is it a rare error?
Damaged.. Someone took another Cent and pressed it to the Cent you are showing. Incused and backwards is evidence of this. Not rare and not a Mint Error
Yep. Look at the reverse: it's flattened, where the flat jaw pressed against the coin. The coin that was pressed into the obverse left a mirrored impression, "backward" and incuse.
Please do coin collectors a favor and destroy it if you don't keep it so it does not end up on ebay as a "Rare Error', which it is not.
If you look closely on the Obverse, you can clearly see the multiple impressions of a Obverse cent put on top of it. You have the head impression on the shoulder, and the shoulder impression on the head. and since the middle is higher, it's tilted to the rim. I'm sure if you take another cent you can Fit it on top of it. Clearly damage front and back.