Gosh, the 120 I use the black paper faces in towards the center of the roll as this is the side the film is on. The side, usually with some color other than black & numbers with info at the beginning of the roll, (some I lick) tape at the end of the roll to affix the paper so as it doesn't unravel, face out & I can see that.
If you see the black paper when looking on edge, then it didn't wind on to the take up spool with enough tension to keep it tight as it was wound. Need to correct that! If you having the film developed it depends how important the pictures are as to spend the money to find out how much light leaked on to the film.
Hope this helps you.