110099416128 has 448 divisors, whose sum is σ = 347029186560. Its totient is φ = 30480924672.

The previous prime is 110099416093. The next prime is 110099416159. The reversal of 110099416128 is 821614990011.

It is a self number, because there is not a number n which added to its sum of digits gives 110099416128.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210514875 + ... + 210515397.

It is an arithmetic number, because the mean of its divisors is an integer number (774618720).

Almost surely, 2^110099416128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110099416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173514593280).

110099416128 is an abundant number, since it is smaller than the sum of its proper divisors (236929770432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110099416128 is a wasteful number, since it uses less digits than its factorization.

110099416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 110099416128 in words is "one hundred ten billion, ninety-nine million, four hundred sixteen thousand, one hundred twenty-eight".