100100110001 has 8 divisors (see below), whose sum is σ = 100191446208. Its totient is φ = 100008810000.

The previous prime is 100100109911. The next prime is 100100110003. The reversal of 100100110001 is 100011001001.

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

It is a cyclic number.

It is not a de Polignac number, because 100100110001 - 2¹⁸ = 100099847857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100110003) 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, 10105151 + ... + 10115051.

It is an arithmetic number, because the mean of its divisors is an integer number (12523930776).

Almost surely, 2^100100110001 is an apocalyptic number.

It is an amenable number.

100100110001 is a deficient number, since it is larger than the sum of its proper divisors (91336207).

100100110001 is an equidigital number, since it uses as much as digits as its factorization.

100100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103.

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

Adding to 100100110001 its reverse (100011001001), we get a palindrome (200111111002).

It can be divided in two parts, 1001001 and 10001, that multiplied together give a palindrome (10011011001).

The spelling of 100100110001 in words is "one hundred billion, one hundred million, one hundred ten thousand, one".