What is in the empty space around an atomic nucleus?

This question occurred to me when listening to a TED-Ed podcast. Can the space between the atomic nucleus and the furthest electron be considered vacuum? Since all it has are a handful of electrons. Google directed me to the following reddit thread, which basically says that the space isn’t technically a vacuum since it contains an electron cloud, and that the probability of finding an electron at any given point is much higher than in a true vacuum such as in deep space. Well worth a full read. There are certainly some brilliant minds on reddit. 
Update: It seems like even empty space as in a vacuum isn’t truly empty because of quantum fluctuations or jitters. (From Fabric of the Cosmos by Brian Greene). 

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