111100100110092 has 384 divisors, whose sum is σ = 318959884615680. Its totient is φ = 33299524177920.

The previous prime is 111100100110049. The next prime is 111100100110121. The reversal of 111100100110092 is 290011001001111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 900913117 + ... + 901036427.

It is an arithmetic number, because the mean of its divisors is an integer number (830624699520).

Almost surely, 2^{111100100110092} is an apocalyptic number.

111100100110092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100100110092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159479942307840).

111100100110092 is an abundant number, since it is smaller than the sum of its proper divisors (207859784505588).

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

111100100110092 is a wasteful number, since it uses less digits than its factorization.

111100100110092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123638 (or 123630 counting only the distinct ones).

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

The spelling of 111100100110092 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, ninety-two".