100111000110010 has 96 divisors (see below), whose sum is σ = 191986482035520. Its totient is φ = 37481082312960.

The previous prime is 100111000110007. The next prime is 100111000110073. The reversal of 100111000110010 is 10011000111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100111000109975 and 100111000110002.

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 47 ways as a sum of consecutive naturals, for example, 740086302 + ... + 740221558.

It is an arithmetic number, because the mean of its divisors is an integer number (1999859187870).

Almost surely, 2^{100111000110010} is an apocalyptic number.

100111000110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111000110010 is a deficient number, since it is larger than the sum of its proper divisors (91875481925510).

100111000110010 is a wasteful number, since it uses less digits than its factorization.

100111000110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135772 (or 135641 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111000110010 its reverse (10011000111001), we get a palindrome (110122000221011).

Subtracting from 100111000110010 its reverse (10011000111001), we obtain a palindrome (90099999999009).

The spelling of 100111000110010 in words is "one hundred trillion, one hundred eleven billion, one hundred ten thousand, ten".