110221022099968 has 160 divisors (see below), whose sum is σ = 240219234984960. Its totient is φ = 50216881029120.

The previous prime is 110221022099939. The next prime is 110221022099999. The reversal of 110221022099968 is 869990220122011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2903055321 + ... + 2903093287.

It is an arithmetic number, because the mean of its divisors is an integer number (1501370218656).

Almost surely, 2^{110221022099968} 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 110221022099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120109617492480).

110221022099968 is an abundant number, since it is smaller than the sum of its proper divisors (129998212884992).

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

110221022099968 is an equidigital number, since it uses as much as digits as its factorization.

110221022099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43598 (or 43582 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The spelling of 110221022099968 in words is "one hundred ten trillion, two hundred twenty-one billion, twenty-two million, ninety-nine thousand, nine hundred sixty-eight".