100011010100111 has 32 divisors (see below), whose sum is σ = 113176241176320. Its totient is φ = 87581950444800.

The previous prime is 100011010100101. The next prime is 100011010100119. The reversal of 100011010100111 is 111001010110001.

It is not a de Polignac number, because 100011010100111 - 2²⁶ = 100010942991247 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 (100011010100119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63721745 + ... + 65272373.

It is an arithmetic number, because the mean of its divisors is an integer number (3536757536760).

Almost surely, 2^{100011010100111} is an apocalyptic number.

100011010100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011010100111 is a deficient number, since it is larger than the sum of its proper divisors (13165231076209).

100011010100111 is a wasteful number, since it uses less digits than its factorization.

100011010100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552487.

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

Adding to 100011010100111 its reverse (111001010110001), we get a palindrome (211012020210112).

The spelling of 100011010100111 in words is "one hundred trillion, eleven billion, ten million, one hundred thousand, one hundred eleven".