100100110110003 has 12 divisors (see below), whose sum is σ = 144589158317760. Its totient is φ = 66733355794896.

The previous prime is 100100110109981. The next prime is 100100110110019. The reversal of 100100110110003 is 300011011001001.

It is not a de Polignac number, because 100100110110003 - 2¹⁴ = 100100110093619 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 (100100110110053) 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 11 ways as a sum of consecutive naturals, for example, 11129118 + ... + 18001596.

It is an arithmetic number, because the mean of its divisors is an integer number (12049096526480).

Almost surely, 2^{100100110110003} is an apocalyptic number.

100100110110003 is a deficient number, since it is larger than the sum of its proper divisors (44489048207757).

100100110110003 is a wasteful number, since it uses less digits than its factorization.

100100110110003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490858 (or 8490855 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100100110110003 its reverse (300011011001001), we get a palindrome (400111121111004).

The spelling of 100100110110003 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred ten thousand, three".