110111101005056 has 72 divisors (see below), whose sum is σ = 223099854401088. Its totient is φ = 54228464640000.

The previous prime is 110111101005029. The next prime is 110111101005067. The reversal of 110111101005056 is 650500101111011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16220936 + ... + 21985016.

It is an arithmetic number, because the mean of its divisors is an integer number (3098609088904).

Almost surely, 2^{110111101005056} is an apocalyptic number.

110111101005056 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 110111101005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111549927200544).

110111101005056 is an abundant number, since it is smaller than the sum of its proper divisors (112988753396032).

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

110111101005056 is an equidigital number, since it uses as much as digits as its factorization.

110111101005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765219 (or 5765205 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 23.

Adding to 110111101005056 its reverse (650500101111011), we get a palindrome (760611202116067).

The spelling of 110111101005056 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, five thousand, fifty-six".