100110111110001 has 32 divisors (see below), whose sum is σ = 149197920919040. Its totient is φ = 66341863803600.

The previous prime is 100110111109963. The next prime is 100110111110047. The reversal of 100110111110001 is 100011111011001.

It is not a de Polignac number, because 100110111110001 - 2⁴² = 95712064598897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110111110201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6213535 + ... + 15454068.

It is an arithmetic number, because the mean of its divisors is an integer number (4662435028720).

Almost surely, 2^{100110111110001} is an apocalyptic number.

It is an amenable number.

100110111110001 is a deficient number, since it is larger than the sum of its proper divisors (49087809809039).

100110111110001 is a wasteful number, since it uses less digits than its factorization.

100110111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21668634 (or 21668628 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110111110001 its reverse (100011111011001), we get a palindrome (200121222121002).

The spelling of 100110111110001 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred ten thousand, one".