100100011100111 has 64 divisors (see below), whose sum is σ = 116795724595200. Its totient is φ = 84892236105600.

The previous prime is 100100011100081. The next prime is 100100011100171. The reversal of 100100011100111 is 111001110001001.

It is a de Polignac number, because none of the positive numbers 2^k-100100011100111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100011100171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3052092365 + ... + 3052125161.

It is an arithmetic number, because the mean of its divisors is an integer number (1824933196800).

Almost surely, 2^{100100011100111} is an apocalyptic number.

100100011100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100011100111 is a deficient number, since it is larger than the sum of its proper divisors (16695713495089).

100100011100111 is a wasteful number, since it uses less digits than its factorization.

100100011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34500.

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

Adding to 100100011100111 its reverse (111001110001001), we get a palindrome (211101121101112).

The spelling of 100100011100111 in words is "one hundred trillion, one hundred billion, eleven million, one hundred thousand, one hundred eleven".