Hello Dear,

According to you, you scored 96.2 percentile in JEE Mains then your rank would be around 38874 - 43700 and you have general EWS category quota.

You can predict rank from the link given below

OR

You can also check out Marks Vs Percentile Vs Ranks from the link given below :-

JEE Main 2021 Marks vs Percentile vs Rank – Calculate Marks using percentile score (careers360.com)

There is minimum chance to get admission in NITs.

You can  predict  colleges from the link given

To more information about JEE Mains and NITs Cutoff:-

JEE Main 2021 Exam - Answer Key (Released), Results, Paper Analysis, Question Papers (careers360.com)

NITs JEE Main Cutoff 2021, 2020, 2019, 2018, 2017 - Check NIT B.Tech Admission Process, Opening and Closing Ranks (careers360.com)

Hope this information helps you...

Best of luck :)