Eru Ilúvatar means the “All Father”
Eru 'The One', 'He that is Alone'
Ilúvatar 'Father of All’
The Silmarillion, Index of Names
The name Ilúvatar is a compound of two words, Ilu/Ilúvë ("the all", "everything, the world") and atar ("father"). The name has existed in the legendarium as early as the Book of Lost Tales. In Qenya (note the spelling) it meant "Sky-father".
"Ilu" in the early legendarium was used to describe the universe and everything in it. Coming from the root IL, meaning "all".
"Atar" comes from the root ATA meaning "father".
So there is to some extent a relation to Primitive Quendian and Qenya as the roots of the composition of the name Ilúvatar.
Éru (and particularly the spelling with the acute accent) came into the Legendarium later, at a similar time to the formation of Adunaic and the origins of the Akallabêth (Sauron Defeated). The use of the word in Quendian first appeared in a List of Names in 1951 (Morgoth's Ring).