100110100111001 has 8 divisors (see below), whose sum is σ = 100427449651200. Its totient is φ = 99793170070272.

The previous prime is 100110100110971. The next prime is 100110100111027. The reversal of 100110100111001 is 100111001011001.

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 100110100111001 - 2¹⁴ = 100110100094617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100110100111001.

It is not an unprimeable number, because it can be changed into a prime (100110100116001) 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, 104396825 + ... + 105351398.

It is an arithmetic number, because the mean of its divisors is an integer number (12553431206400).

Almost surely, 2^{100110100111001} is an apocalyptic number.

It is an amenable number.

100110100111001 is a deficient number, since it is larger than the sum of its proper divisors (317349540199).

100110100111001 is a wasteful number, since it uses less digits than its factorization.

100110100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209749735.

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

Adding to 100110100111001 its reverse (100111001011001), we get a palindrome (200221101122002).

The spelling of 100110100111001 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, one".