110013172021044 has 288 divisors, whose sum is σ = 300634483968000. Its totient is φ = 33818050126080.

The previous prime is 110013172021033. The next prime is 110013172021097. The reversal of 110013172021044 is 440120271310011.

It is a happy number.

110013172021044 is a `hidden beast` number, since 1 + 100 + 1 + 317 + 202 + 1 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 110013172020999 and 110013172021017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163608414 + ... + 1163702954.

It is an arithmetic number, because the mean of its divisors is an integer number (1043869736000).

Almost surely, 2^{110013172021044} 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 110013172021044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150317241984000).

110013172021044 is an abundant number, since it is smaller than the sum of its proper divisors (190621311946956).

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

110013172021044 is a wasteful number, since it uses less digits than its factorization.

110013172021044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94955 (or 94950 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 110013172021044 in words is "one hundred ten trillion, thirteen billion, one hundred seventy-two million, twenty-one thousand, forty-four".