Hello Aspirant,

Since you have not mentioned your category so it is little bit difficult to guide you with accurate information, so for accurate information please mention your category in the comment section below.

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 irrespective of the category because even the closing category rank for IITs were around 5-6k and that too for OBC category and you are very far from the figure so you can hardly get any IIT.

But don't get disappointed 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

JEE-Advance 2021 cut-offs are mentioned below :-

>>> Common rank list (CRL) - 10.0 (Minimum percentage of marks in each subject) - 35.0 (Minimum percentage of aggregate marks)

>>> GEN-EWS rank list - 9.0 - 31.5

>>> OBC-NCL rank list - 9.0 - 31.5

>>> SC rank list - 5.0 - 17.5

>>> ST rank list - 5.0 - 17.5

>>> CRL-PwD rank list - 5.0 - 17.5

>>> GEN-EWS-PwD rank list - 5.0 - 17.5

>>> OBC-NCL-PwD rank list - 5.0 - 17.5

>>> SC-PwD rank list - 5.0 - 17.5

>>> ST-PwD rank list - 5.0 - 17.5

>>> Preparatory course rank lists - 2.5 - 8.75

I hope this information helps you.

Good Luck!!