100100000110001 has 8 divisors (see below), whose sum is σ = 102242993994624. Its totient is φ = 97957556502480.

The previous prime is 100100000109887. The next prime is 100100000110039. The reversal of 100100000110001 is 100011000001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100000110001 - 2¹⁸ = 100099999847857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100000110051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137201555 + ... + 137929208.

It is an arithmetic number, because the mean of its divisors is an integer number (12780374249328).

Almost surely, 2^{100100000110001} is an apocalyptic number.

It is an amenable number.

100100000110001 is a deficient number, since it is larger than the sum of its proper divisors (2142993884623).

100100000110001 is an equidigital number, since it uses as much as digits as its factorization.

100100000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275138551.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100000110001 its reverse (100011000001001), we get a palindrome (200111000111002).

The spelling of 100100000110001 in words is "one hundred trillion, one hundred billion, one hundred ten thousand, one".