It doesn’t say that he rested because of fatigue. "And Jesus said to them, “the Sabbath was made for man, and not man for the Sabbath” (Mark 2:27) This at least implies that the resting on the Sabbath was so that man could have a day of rest and not because God needed the Sabbath in order to rest, and everyone else must stop working in order to give God that rest.
God shabbated on the 7th day. It doesn’t necessarily mean rest in the human sense, although when God ceased his work on the 7th day, it’s typically translated as “rested.”
The KJV translates shabbat as cease 47 times, and as rest 11 times.
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