100111110010111 has 4 divisors (see below), whose sum is σ = 101102309119224. Its totient is φ = 99119910901000.

The previous prime is 100111110010099. The next prime is 100111110010129. The reversal of 100111110010111 is 111010011111001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100111110010111 - 2¹⁵ = 100111109977343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110010151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 495599554405 + ... + 495599554606.

It is an arithmetic number, because the mean of its divisors is an integer number (25275577279806).

Almost surely, 2^{100111110010111} is an apocalyptic number.

100111110010111 is a deficient number, since it is larger than the sum of its proper divisors (991199109113).

100111110010111 is an equidigital number, since it uses as much as digits as its factorization.

100111110010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991199109112.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111110010111 its reverse (111010011111001), we get a palindrome (211121121121112).

The spelling of 100111110010111 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, ten thousand, one hundred eleven".