Hello Anuradha,

With a percentile of 96.81 in JEE mains you might be able to following IIITs:

• Indian Institute of Information Technology (IIIT) Nagpur, Nagpur, Maharashtra
• Indian Institute of Information Technology (IIIT) Ranchi, Ranchi, Jharkhand
• Indian Institute of Information Technology Bhagalpur, Bhagalpur, Bihar
• Indian Institute of Information Technology Bhopal, Bhopal, Madhya Pradesh
• Indian Institute of Information Technology Design & Manufacturing Kurnool, Andhra Pradesh, Kurnool, Andhra Pradesh
• Indian Institute of Information Technology Manipur, Heingang, Manipur
• Indian Institute of Information Technology(IIIT) Dharwad, Dharwad, Karnataka
• Indian Institute of Information Technology(IIIT) Kalyani, West Bengal, Kalyani, West Bengal
• Indian Institute of Information Technology(IIIT) Una, Himachal Pradesh, Una, Himachal Pradesh
• Indian Institute of Information Technology, Design & Manufacturing, Kancheepuram, Kanchipuram, Tamil Nadu

And following NITs:

• National Institute of Technology Agartala, Agartala, Tripura
• National Institute of Technology Arunachal Pradesh, Yupia, Arunachal Pradesh
• National Institute of Technology Durgapur, Durgapur, West Bengal
• National Institute of Technology Meghalaya, Shillong, Meghalaya
• National Institute of Technology Nagaland, Dimapur, Nagaland
• National Institute of Technology Patna, Patna, Bihar
• National Institute of Technology Raipur, Raipur, Chhattisgarh
• National Institute of Technology Sikkim, Ravangla, Sikkim
• National Institute of Technology, Andhra Pradesh, Tadepalligudam, Andhra Pradesh
• National Institute of Technology, Jamshedpur, Jamshedpur, Jharkhand
• National Institute of Technology, Manipur, Imphal, Manipur
• National Institute of Technology, Mizoram, Aizawl, Mizoram
• National Institute of Technology, Rourkela, Rourkela, Odisha
• National Institute of Technology, Srinagar, Srinagar, Jammu & Kashmir

To find out the other colleges that you might get based on your JEE mains performance, visit the following link:

https://engineering.careers360.com/jee-main-college-predictor

All the best