Sudar, going by the formula 100-87.27*869010/100 (where 87.27 is your percentile and 869010 is the no.of Candidates who appeared for January session) , your All India Rank would be 110624. Now NIT Trichy has the cut offs as follows:

Architecture: 1043

EEE: 4197

Production Engineering: 11223

Metallurgical: 11220

ME: 4388

ECE: 3010

CSE: 2165

Civil: 10931

Chemical: 7578

Now this is 2019 data and cut offs change every year. So with your AIR, it is tad difficult for a seat in NIT Trichy in any of the branches. You might have to appear for July session. You can use our College predictor to check the list of colleges you have a shot at: