This is more socially-driven than plot or character. What would a society be like if people were not male or female but a sort of neuter except during each period when they became sexually active for a few days during which they became male or female at random? There are other significant differences to the way our "Western" societies work, it is up to the reader to imaging whether these were causally related to the different sexual biology.

In spite of that there are a lot of insights into our political issues, too.