112100100111090 has 256 divisors, whose sum is σ = 367933469783040. Its totient is φ = 23650912604160.

The previous prime is 112100100111089. The next prime is 112100100111091. The reversal of 112100100111090 is 90111001001211.

It is an interprime number because it is at equal distance from previous prime (112100100111089) and next prime (112100100111091).

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

It is not an unprimeable number, because it can be changed into a prime (112100100111091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 701172442 + ... + 701332298.

It is an arithmetic number, because the mean of its divisors is an integer number (1437240116340).

Almost surely, 2^{112100100111090} is an apocalyptic number.

112100100111090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100100111090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183966734891520).

112100100111090 is an abundant number, since it is smaller than the sum of its proper divisors (255833369671950).

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

112100100111090 is a wasteful number, since it uses less digits than its factorization.

112100100111090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188434 (or 188428 counting only the distinct ones).

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

The spelling of 112100100111090 in words is "one hundred twelve trillion, one hundred billion, one hundred million, one hundred eleven thousand, ninety".