Satellite Tracker 3D

They do but geostationary is at an altitude of 35,786km. That gives a circumference of 264,869km and an arc length of 736 km per degree. That is a lot of space to fit satellites.

"Space is big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the road to the drug store, but that's just peanuts to space." - Douglas Adams

You can see geostationary satellites if you zoom out. They are more apparent if rotate to look down from the poles. It looks like a faint ring.

There aren't that many geostationary satellites. They need to stay spaced out to avoid each other. The result is a few, large satellites instead of the large cloud of ones close to Earth.

not an expert, but from what I have gathered they are launched in clusters that end up in such a "train" formation, later to launch into a more spaced out constellation at a higher altitude.

source with neat animations: https://www.washingtonpost.com/business/interactive/2023/sta...

They aren’t common but they do happen.

https://en.m.wikipedia.org/wiki/2009_satellite_collision