Both, and neither
Is Space Hot or Freezing?
Space has almost no particles, so it has barely any temperature to give you at all.
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Step 1 of 5
Temperature is really about particles jostling.
Something feels hot because fast-moving particles collide with you and hand over energy. No particles means no way to feel any temperature.
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Step 2 of 5
Space barely has any particles to jostle.
The few atoms floating in deep space do move extremely fast, but there are so few of them that they carry almost no energy to you.
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Step 3 of 5
So objects heat and cool by light instead.
With no air to carry heat, the only ways to gain or lose it are absorbing sunlight and radiating your own warmth away into the dark.
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Step 4 of 5
That makes sunlight and shadow wildly different.
A surface in direct sun can pass 120°C while a surface in shadow a metre away falls below minus 100°C, with no air to even them out.
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Step 5 of 5
Spacesuits mostly fight overheating.
Losing heat without air is slow, so a working astronaut's real problem is dumping the warmth their own body keeps producing.
The space station's cooling system pumps ammonia to radiators, because in vacuum there is no air to blow warmth away.
The short version
Space is neither hot nor cold in a useful sense, because temperature needs particles and objects there heat or cool only by light.
Try it yourself
Stand in bright sun then step into shade on a cold clear day. That sharp difference is a small taste of the same effect.
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