100100011010111 has 16 divisors (see below), whose sum is σ = 116279559709248. Its totient is φ = 84390449184000.

The previous prime is 100100011010101. The next prime is 100100011010119. The reversal of 100100011010111 is 111010110001001.

It is a cyclic number.

It is not a de Polignac number, because 100100011010111 - 2³⁸ = 99825133103167 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 (100100011010119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7885481 + ... + 16198173.

It is an arithmetic number, because the mean of its divisors is an integer number (7267472481828).

Almost surely, 2^{100100011010111} is an apocalyptic number.

100100011010111 is a deficient number, since it is larger than the sum of its proper divisors (16179548699137).

100100011010111 is an equidigital number, since it uses as much as digits as its factorization.

100100011010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340962.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100100011010111 its reverse (111010110001001), we get a palindrome (211110121011112).

The spelling of 100100011010111 in words is "one hundred trillion, one hundred billion, eleven million, ten thousand, one hundred eleven".