This coin is NOT considered rare. It was made at the Philadelphia Mint, with a mintage number of 775,235,500.
Right, VERY common. I see you posted in the error section, is there something about it you feel is an error?
Philadelphia does not use a Mint mark, except in 2017 fr novelty or something. Think of it, Philadelphia was the FIRST US operation to mint coins. Why would they think of adding a mint mark. They probably didn't forecast the evolution of the US as it is today. The other Mints used mint marks to identify their location. Do other foreign countries use mint marks on all their coins? .. I have no idea. You should really purchase what is called a A Guide Book of United States Coins: The Official Red Book you will learn a lot of the basics from it.
This year does have a DDR, But I am not seeing it. http://www.varietyvista.com/01b LC Doubled Dies Vol 2/DDR 1983.htm
I see why many are frustrated with You-Tube but the extremely high numbers viewing coins is a great way to get new collectors. Being snarky is rude and harms collectors images so be nice and build the collectors base. Personally I was shocked to see hundreds of thousands view these short coin videos of supposed rare modern coinage.
Copper cents are 3.1g. 1982 some are copper and some are copper-plated zinc (2.5g) 1983-present cents are supposed to be copper-plated zinc. So if you have a 1983 copper, it is a transitional error and that's what makes it rare. How rare? No idea, but it wasn't supposed to exist.