100100000110112 has 24 divisors (see below), whose sum is σ = 203867457122700. Its totient is φ = 48324137983744.

The previous prime is 100100000110091. The next prime is 100100000110153. The reversal of 100100000110112 is 211011000001001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90651040535056 + 9448959575056 = 9521084^2 + 3073916^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100100000110112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53933188787 + ... + 53933190642.

Almost surely, 2^{100100000110112} is an apocalyptic number.

It is an amenable number.

100100000110112 is an abundant number, since it is smaller than the sum of its proper divisors (103767457012588).

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

100100000110112 is a wasteful number, since it uses less digits than its factorization.

100100000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107866379468 (or 107866379460 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100000110112 its reverse (211011000001001), we get a palindrome (311111000111113).

The spelling of 100100000110112 in words is "one hundred trillion, one hundred billion, one hundred ten thousand, one hundred twelve".