Everything he requires is provided so he has no need of money.
The pope receives no salary but all his expenses are paid for by the Church.
Pope Julius II
The pope does not receive a salary. All his expenses and needs are paid by the Church.
The pope
The Pope does not command any armies, but he does have considerable influence with Roman Catholics around the world, so he is not without power. This was the famous joke of Joseph Stalin on being informed that the Allied cause was supported by the Pope. "How may battalions does the Pope have?"
No, you do not have to be wealthy to be the pope. Once elected as pope, you receive no salary but all your living expenses are paid for by the Catholic Church.
He's the boss so could choose to live elsewhere. However, the Roman Curia and all the resources he needs as pope are in Rome so it is doubtful he would live elsewhere. Also, being the Bishop of Rome he would have to live in that area.
Which Pope Adrian? There have been several.
Pope Julius II was not of Medici family but a della Rovere.
Pope Emeritus Benedict XVI does not live in Australia. He lives in Vatican City.
There is only one Vatican city in Europe so the pope can only live there.
The pope lives in the Papal Apartments in the Vatican not in a church.