Hello Aspirant,

According to the category rank mentioned by you in the question you have very low or almost no chances of getting into any of the IITs until and unless you deserve Female quota because the closing OBC rank for IITs were around 4-5k for Other than female quota and you are very far from the figure so you can hardly get any IIT. And for IIITs and NITs we need your JEE-Main rank under OBC quota because admission to NITs and IIITs are made only on the basis of JEE-Main rank.

But don't get disappointed if you are not getting any IITs because if you have good rank in JEE-Main then you can get good NITs also and you can predict the colleges which you can get from JEE-Main by using JEE-Main College Predictor :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Even though you have very low chances but still to have a list of all those colleges which you can get based upon your JEE-Advance 2021 score you can use JEE-Advance College Predictor:-

https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer

Note that the above prediction is made on the basis of previous year's cut-off and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

You can check out previous year's cut-offs from the link given below :-

https://josaa.nic.in/Result/Result/currentorcr.aspx

Or you can also refer to the link given below for previous years JEE-Advanced cut-off for IITs :-

https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits

I hope this information helps you.

Good Luck!!