Hello there,
According to the formula, [100-86*869010], your All India Rank is 121661 approximately, where 86 is your percentile and 869010 is the total number of candidates who appeared in JEE Main Jan session. You have not mentioned your category and Home State. Analysing the previous year data, you can get few lower NITs and IIITs, if you come under Home State quota. Else, you can get many good private colleges with this rank. Please mention the branch you want to choose, your home state and your category, so that we can predict the right colleges for you.
Also note that the cut-off rank changes every year depending on the difficulty of the paper, and the number of candidates appearing for it.
You can also use our college predictor to predict the best colleges:

Hope this answer helps you.
Good luck!!

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