110056000511100 has 576 divisors, whose sum is σ = 379568177192960. Its totient is φ = 24095491200000.

The previous prime is 110056000511099. The next prime is 110056000511123. The reversal of 110056000511100 is 1115000650011.

It is a happy number.

It is a super-2 number, since 2×110056000511100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9781880475 + ... + 9781891725.

Almost surely, 2^{110056000511100} is an apocalyptic number.

110056000511100 is a gapful number since it is divisible by the number (10) 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 110056000511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189784088596480).

110056000511100 is an abundant number, since it is smaller than the sum of its proper divisors (269512176681860).

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

110056000511100 is a wasteful number, since it uses less digits than its factorization.

110056000511100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 110056000511100 in words is "one hundred ten trillion, fifty-six billion, five hundred eleven thousand, one hundred".