The Underworld.
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Difficult to answer - he is the servant of Hades - in the same way that Cerberus is Hades' pet dog. As a resident of the underworld he is not a mortal but he is also not a god. However unlike Cerberus he is not a monster.
Zeus, Poseidon and Hades divided the world between them, and this is what Hades got.
Hades is the Greek name for Hades.
Hades is Hades' Greek name.
Hades' Greek name is Hades.
Hades the god was in charge of hades the underworld.
Hades' name in Greek is Hades.
Hades rules the underworld.
Hades Aidoneus for sure
Hades is also known as 'The Unseen One', and Pluto.