As you want contact number of RS Puram Branch of Bank of India located in Coimbatore, so here I am providing contact number:

R.S.Puram
Code: 8215
IFSC: BKID0008215
Address: 322, D.B. Road, R.S. Puram,
State: Tamil Nadu , City: Coimbatore,
PIN:641002
Phone No: (0422) 2475197, 2472111,
Fax No: 2475205,
Email: RSPuram.Coimbatore@bankofindia.co.in

Here I am giving information of other nearest Branches of Bank of India located in Coimbatore for your reference:

Bharathiar University
Code: 8226
IFSC: BKID0008226
Address: Bharthiar University P.O. Coimbatore
State: Tamil Nadu , City: Coimbatore,
PIN:641046 Phone No: (0422) 2422024, 2423369,
Email: Buniversity.Coimbatore@bankofindia.co.in

Coimbatore
Code: 8200
IFSC: BKID0008200
Address: 324, Oppanakara Street, Post No. 105,
State: Tamil Nadu , City: Coimbatore,
PIN:641001
Phone No: (0422) 2396271 / 2, 2380215, 2397379,
Email: Coimbatore.Coimbatore@bankofindia.co.in

Coimbatore Asset Recovery
Code: 8228
IFSC: BKID0008228
Address: Star House 324, Oppanakara Street
State: Tamil Nadu , City: Coimbatore,
PIN:641001 Phone No: (0422) 4357075, 2827999,
Fax No: 2303250,
Email: Assetrecovery.Coimbatore@bankofindia.co.in

Coimbatore Mid Corporate
Code: 8233
IFSC: BKID0008233
Address: Chamber Towers, 1St Floor, Avinashi Road,
State: Tamil Nadu , City: Coimbatore,
PIN:641018 Phone No: (0422) 2221868 - 872 - 874,
Fax No: 2221869,
Email: MCB.Coimbatore@bankofindia.co.in

Peelamedu
Code: 8243
IFSC: BKID0008229
Address: Sf.No.289,Ssn Square,Door No. 84,Pudur Mariamman Koil Road
State: Tamil Nadu , City: Coimbatore,
PIN:641004 Phone No: (0422) ,
Email: Peelamedu.Coimbatore@bankofindia.co.in