100110110111001 has 40 divisors (see below), whose sum is σ = 156520702624704. Its totient is φ = 63645465644640.

The previous prime is 100110110110979. The next prime is 100110110111057. The reversal of 100110110111001 is 100111011011001.

It is not a de Polignac number, because 100110110111001 - 2¹⁵ = 100110110078233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100110110111701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80555506 + ... + 81788811.

Almost surely, 2^{100110110111001} is an apocalyptic number.

It is an amenable number.

100110110111001 is a deficient number, since it is larger than the sum of its proper divisors (56410592513703).

100110110111001 is a wasteful number, since it uses less digits than its factorization.

100110110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162344683 (or 162344674 counting only the distinct ones).

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

Adding to 100110110111001 its reverse (100111011011001), we get a palindrome (200221121122002).

The spelling of 100110110111001 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred eleven thousand, one".