10110055101056 has 64 divisors (see below), whose sum is σ = 20412936086760. Its totient is φ = 4987164672000.

The previous prime is 10110055101053. The next prime is 10110055101061. The reversal of 10110055101056 is 65010155001101.

It can be written as a sum of positive squares in 4 ways, for example, as 9758026478656 + 352028622400 = 3123784^2 + 593320^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10110055101053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241260 + ... + 5024276.

Almost surely, 2^{10110055101056} is an apocalyptic number.

10110055101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110055101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206468043380).

10110055101056 is an abundant number, since it is smaller than the sum of its proper divisors (10302880985704).

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

10110055101056 is a wasteful number, since it uses less digits than its factorization.

10110055101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783413 (or 2783401 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 10110055101056 in words is "ten trillion, one hundred ten billion, fifty-five million, one hundred one thousand, fifty-six".