You would still have the same age, gender, personality, skin color, etc. and you would be able to speak at least one local language and would know basic information of the era and place. Your family, social standing, and such would be randomly picked.
Maybe ancient Athens? Just sit around eating grapes and talking about triangles and shit. And even if I get rng’d into slavery, I could draw the Pythagorean theorem in the dirt, and a passing scholar would be like “holy shit, come with me dude”