100100111101092 has 72 divisors (see below), whose sum is σ = 267917211689400. Its totient is φ = 31403697558528.

The previous prime is 100100111101091. The next prime is 100100111101117. The reversal of 100100111101092 is 290101111001001.

It can be written as a sum of positive squares in 4 ways, for example, as 31189924022436 + 68910187078656 = 5584794^2 + 8301216^2 .

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 (100100111101091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81884134 + ... + 83097602.

It is an arithmetic number, because the mean of its divisors is an integer number (3721072384575).

Almost surely, 2^{100100111101092} is an apocalyptic number.

100100111101092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100111101092 is an abundant number, since it is smaller than the sum of its proper divisors (167817100588308).

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

100100111101092 is a wasteful number, since it uses less digits than its factorization.

100100111101092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348285 (or 1348280 counting only the distinct ones).

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

Adding to 100100111101092 its reverse (290101111001001), we get a palindrome (390201222102093).

The spelling of 100100111101092 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred one thousand, ninety-two".