I love a nice game of bombardment 
Figs are really complicated… I think all of the tropical species are totally hermaphroditic. This is an awesome nature program that outlines the life cycle, as well as the parasitic wasps that attack the fig wasps.
https://youtu.be/xy86ak2fQJM
Ficus carica and a couple other species have “female” trees that aren’t able to host any wasp larvae though. Caprifigs are still hermaphrodite, with stamens in the first crop (for caprifigs it is called the profichi, while for edible figs it is called the breba) and host the wasps which carry the pollen on to the next crop (mamme/main crop).
Wasps that enter female figs cannot fit their ovipositor down far enough in the long style of the flower to lay an egg on the ovary and only accomplish pollination, which is a win for the tree. Caprifigs can and do pollinate themselves, but produce far fewer seeds because most are eaten by the fig wasp larvae, the seeds are less likely to be spread by animals also.
There is actually a third type too that has long styled female flowers and stamens, they are called edible caprifigs. These were used in the Davis breeding program but their genetics have not been explained that I am aware of. I tried using one called Gillete to pollinate also but didn’t get any viable seeds, could not see any pollen on the stamens either.