100111101110010 has 64 divisors (see below), whose sum is σ = 267204970575360. Its totient is φ = 26672090201280.

The previous prime is 100111101109993. The next prime is 100111101110089. The reversal of 100111101110010 is 10011101111001.

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 = 100111101109974 and 100111101110001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167781001 + ... + 168376620.

It is an arithmetic number, because the mean of its divisors is an integer number (4175077665240).

Almost surely, 2^{100111101110010} is an apocalyptic number.

100111101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111101110010 is an abundant number, since it is smaller than the sum of its proper divisors (167093869465350).

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

100111101110010 is a wasteful number, since it uses less digits than its factorization.

100111101110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336158740 (or 336158734 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111101110010 its reverse (10011101111001), we get a palindrome (110122202221011).

Subtracting from 100111101110010 its reverse (10011101111001), we obtain a palindrome (90099999999009).

The spelling of 100111101110010 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred ten thousand, ten".