100100111110001 has 4 divisors (see below), whose sum is σ = 100134427229172. Its totient is φ = 100065794990832.

The previous prime is 100100111109913. The next prime is 100100111110093. The reversal of 100100111110001 is 100011111001001.

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

It can be written as a sum of positive squares in 2 ways, for example, as 98959222230625 + 1140888879376 = 9947825^2 + 1068124^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100111110001 - 2²⁶ = 100100044001137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100111110201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17158055210 + ... + 17158061043.

It is an arithmetic number, because the mean of its divisors is an integer number (25033606807293).

Almost surely, 2^{100100111110001} is an apocalyptic number.

It is an amenable number.

100100111110001 is a deficient number, since it is larger than the sum of its proper divisors (34316119171).

100100111110001 is an equidigital number, since it uses as much as digits as its factorization.

100100111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34316119170.

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

Adding to 100100111110001 its reverse (100011111001001), we get a palindrome (200111222111002).

The spelling of 100100111110001 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, one".