Jews with Gentile Fathers
Question
There are lots of Jews in this world who have a Jewish mother and gentile father. In the eye of Halacha, is there anything different about them from those who have two Jewish parents? Are they treated any differently, or are there any special laws that they or others around must follow?
I am curious because in Leviticus 24:10-23 is the story of a man who fits this description, who was excluded and blasphemed G-d, and was put to death.