100011000100111 has 4 divisors (see below), whose sum is σ = 100011028886152. Its totient is φ = 100010971314072.

The previous prime is 100011000100021. The next prime is 100011000100169. The reversal of 100011000100111 is 111001000110001.

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 100011000100111 - 2³⁹ = 99461244286223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011000100094 and 100011000100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000100811) 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 3 ways as a sum of consecutive naturals, for example, 8330340 + ... + 16413913.

It is an arithmetic number, because the mean of its divisors is an integer number (25002757221538).

Almost surely, 2^{100011000100111} is an apocalyptic number.

100011000100111 is a deficient number, since it is larger than the sum of its proper divisors (28786041).

100011000100111 is an equidigital number, since it uses as much as digits as its factorization.

100011000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28786040.

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

Adding to 100011000100111 its reverse (111001000110001), we get a palindrome (211012000210112).

The spelling of 100011000100111 in words is "one hundred trillion, eleven billion, one hundred thousand, one hundred eleven".