Hello Dear,

First of all congratulations for your performance. As the percentile mentioned by you the General AIR rank must be between 165679 - 120612. your category rank must be very less. There is a fair chance that you can get any NIt/IIIT on your rank specially in your home state as every state has lower cutoff for their home state. For more information you can check the list below:

https://engineering.careers360.com/articles/jee-main-cutoff

but as you know cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors. You can check the rank vs percentile vs marks below:

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

You can check our predictors link to know more about the college which you can get

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

Good Luck