Throwing dice

With 10 6-faces dice (numbered 1 to 6), we can obtain all sums between 10 and 60.

The sum 35 is the champion. It can be obtain in 4395456 ways. it's actually the sum that can be obtained in the largest number of ways.

What is the champion if we use $n=100$ dice ?

Answer format: Champion, Number of ways.

Example: 35,4395456