He says he got an annulment, so in the eyes of the Church, he was never married. However, he did apply for the annulment after he married for the second time which did not take place in a Catholic Church. He laughed about getting an annulment -- something about Boston politicians and the number of annulments they had been granted.
I have never seen it stated definitively that he did get his annulment -- his answers are always spin.
Doesn't that then mean his children are bastards?