100110561001056 has 72 divisors (see below), whose sum is σ = 284691499301664. Its totient is φ = 33369941848320.

The previous prime is 100110561000971. The next prime is 100110561001057. The reversal of 100110561001056 is 650100165011001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110561001057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40345350 + ... + 42754746.

It is an arithmetic number, because the mean of its divisors is an integer number (3954048601412).

Almost surely, 2^{100110561001056} is an apocalyptic number.

100110561001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100110561001056 is an abundant number, since it is smaller than the sum of its proper divisors (184580938300608).

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

100110561001056 is a wasteful number, since it uses less digits than its factorization.

100110561001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553684 (or 2553673 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 100110561001056 in words is "one hundred trillion, one hundred ten billion, five hundred sixty-one million, one thousand, fifty-six".