100111111000092 has 36 divisors (see below), whose sum is σ = 264061191335760. Its totient is φ = 31919484666432.

The previous prime is 100111111000091. The next prime is 100111111000133. The reversal of 100111111000092 is 290000111111001.

It is a tau number, because it is divible by the number of its divisors (36).

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 (100111111000091) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60453568617 + ... + 60453570272.

It is an arithmetic number, because the mean of its divisors is an integer number (7335033092660).

Almost surely, 2^{100111111000092} is an apocalyptic number.

100111111000092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111111000092 is an abundant number, since it is smaller than the sum of its proper divisors (163950080335668).

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

100111111000092 is a wasteful number, since it uses less digits than its factorization.

100111111000092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120907138922 (or 120907138917 counting only the distinct ones).

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

Adding to 100111111000092 its reverse (290000111111001), we get a palindrome (390111222111093).

The spelling of 100111111000092 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, ninety-two", and thus it is an aban number.