100011013103112 has 32 divisors (see below), whose sum is σ = 250028217473280. Its totient is φ = 33336913072320.

The previous prime is 100011013103087. The next prime is 100011013103171. The reversal of 100011013103112 is 211301310110001.

It is a junction number, because it is equal to n+sod(n) for n = 100011013103091 and 100011013103100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3546537 + ... + 14580807.

It is an arithmetic number, because the mean of its divisors is an integer number (7813381796040).

Almost surely, 2^{100011013103112} is an apocalyptic number.

100011013103112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011013103112 is an abundant number, since it is smaller than the sum of its proper divisors (150017204370168).

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

100011013103112 is a wasteful number, since it uses less digits than its factorization.

100011013103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411933 (or 11411929 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100011013103112 its reverse (211301310110001), we get a palindrome (311312323213113).

The spelling of 100011013103112 in words is "one hundred trillion, eleven billion, thirteen million, one hundred three thousand, one hundred twelve".