To calculate this expression, we can use the order of operations (PEMDAS/BODMAS) and perform the calculations step by step.

Step 1: Calculate 35 - 2.1
35 - 2.1 = 32.9

Step 2: Calculate 32.9 raised to the power of 111
32.9^111 = 1.042 x 10^186

Step 3: Calculate 3.7 x 7
3.7 x 7 = 25.9

Step 4: Calculate 25.9 raised to the power of 2
25.9^2 = 671.81

Step 5: Multiply the results from step 2 and step 4
1.042 x 10^186 + 671.81 = 1.042 x 10^186 + 671.81

Therefore, the final result is 1.042 x 10^186 + 671.81.