110120100192 has 72 divisors (see below), whose sum is σ = 313188974280. Its totient is φ = 36702604800.

The previous prime is 110120100173. The next prime is 110120100199. The reversal of 110120100192 is 291001021011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×110120100192² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120100199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3674067 + ... + 3703917.

It is an arithmetic number, because the mean of its divisors is an integer number (4349846865).

Almost surely, 2^110120100192 is an apocalyptic number.

110120100192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110120100192 is an abundant number, since it is smaller than the sum of its proper divisors (203068874088).

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

110120100192 is a wasteful number, since it uses less digits than its factorization.

110120100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42676 (or 42665 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 110120100192 in words is "one hundred ten billion, one hundred twenty million, one hundred thousand, one hundred ninety-two".