100111000100112 has 120 divisors (see below), whose sum is σ = 289839177777240. Its totient is φ = 32218929039360.

The previous prime is 100111000100101. The next prime is 100111000100113. The reversal of 100111000100112 is 211001000111001.

It can be written as a sum of positive squares in 4 ways, for example, as 172510638336 + 99938489461776 = 415344^2 + 9996924^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111000100094 and 100111000100103.

It is not an unprimeable number, because it can be changed into a prime (100111000100113) 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, 211658188 + ... + 212130644.

It is an arithmetic number, because the mean of its divisors is an integer number (2415326481477).

Almost surely, 2^{100111000100112} is an apocalyptic number.

100111000100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111000100112 is an abundant number, since it is smaller than the sum of its proper divisors (189728177677128).

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

100111000100112 is a wasteful number, since it uses less digits than its factorization.

100111000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523241 (or 523232 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111000100112 its reverse (211001000111001), we get a palindrome (311112000211113).

The spelling of 100111000100112 in words is "one hundred trillion, one hundred eleven billion, one hundred thousand, one hundred twelve".