110401092001104 has 160 divisors (see below), whose sum is σ = 288982303948800. Its totient is φ = 36315715806720.

The previous prime is 110401092001033. The next prime is 110401092001111. The reversal of 110401092001104 is 401100290104011.

It is a super-2 number, since 2×110401092001104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292120017 + ... + 1292205455.

It is an arithmetic number, because the mean of its divisors is an integer number (1806139399680).

Almost surely, 2^{110401092001104} 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 110401092001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144491151974400).

110401092001104 is an abundant number, since it is smaller than the sum of its proper divisors (178581211947696).

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

110401092001104 is a wasteful number, since it uses less digits than its factorization.

110401092001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86553 (or 86547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 110401092001104 in words is "one hundred ten trillion, four hundred one billion, ninety-two million, one thousand, one hundred four".