At the Spring and Autumnal solstices, are the sunrises perfectly eastward and the sunsets perfectly westward, night and day equal, all over the world?

I know that the days get more long the further north you go as we progress toward summer, until you get white nights and eventually 24 hour sunlight at and beyond the arctic circle.

Daylight Savings time and the lengthening of days in the Spring are making me think about all this.