At my institution, the parental leave for men is five weeks. For women, it varies widely. I'm not sure I understand. Most professors will take the parental leave that they have at their disposal. As for whether they take care of the children, I don't know.
I have some interesting information. In other studies, we looked at the proportion of house chores and child care that was done by men and women. Systematically, women have the bulk of the child care, and that has a direct incidence on their publications, their citations and the repercussions of that.