101000111110092 has 144 divisors (see below), whose sum is σ = 271047728952000. Its totient is φ = 31601514147840.

The previous prime is 101000111110081. The next prime is 101000111110127. The reversal of 101000111110092 is 290011111000101.

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 47 ways as a sum of consecutive naturals, for example, 684760992 + ... + 684908472.

It is an arithmetic number, because the mean of its divisors is an integer number (1882275895500).

Almost surely, 2^{101000111110092} is an apocalyptic number.

101000111110092 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 101000111110092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135523864476000).

101000111110092 is an abundant number, since it is smaller than the sum of its proper divisors (170047617841908).

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

101000111110092 is a wasteful number, since it uses less digits than its factorization.

101000111110092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150496 (or 150491 counting only the distinct ones).

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

Adding to 101000111110092 its reverse (290011111000101), we get a palindrome (391011222110193).

The spelling of 101000111110092 in words is "one hundred one trillion, one hundred eleven million, one hundred ten thousand, ninety-two".