100111011203112 has 96 divisors (see below), whose sum is σ = 313534485684000. Its totient is φ = 26402904049536.

The previous prime is 100111011203033. The next prime is 100111011203113. The reversal of 100111011203112 is 211302110111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111011203091 and 100111011203100.

It is not an unprimeable number, because it can be changed into a prime (100111011203113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3274154362 + ... + 3274184937.

It is an arithmetic number, because the mean of its divisors is an integer number (3265984225875).

Almost surely, 2^{100111011203112} is an apocalyptic number.

100111011203112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111011203112 is an abundant number, since it is smaller than the sum of its proper divisors (213423474480888).

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

100111011203112 is a wasteful number, since it uses less digits than its factorization.

100111011203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548339335 (or 6548339324 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 100111011203112 its reverse (211302110111001), we get a palindrome (311413121314113).

The spelling of 100111011203112 in words is "one hundred trillion, one hundred eleven billion, eleven million, two hundred three thousand, one hundred twelve".