Almost all of Vatican City's little more than 800 citizens either live inside the Vatican's walls or serve in the Holy See's diplomatic corps in embassies (called "nunciatures"; a papal ambassador is a "nuncio") around the world.
Vatican City has no administrative divisions.It could be considered an administrative division of Rome, but because it is its own country it is (mostly) administratively independent of Rome.
If you are someone who is searching for knowledge about Catholicism, then the best place for you to learn is at the Vatican. The Vatican is the center of the Catholic faith, and of course higher learning of the Roman Catholic ways.