100100011003 has 16 divisors (see below), whose sum is σ = 105911027712. Its totient is φ = 94453128000.

The previous prime is 100100010919. The next prime is 100100011021. The reversal of 100100011003 is 300110001001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100011003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100011073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244108 + ... + 2288278.

It is an arithmetic number, because the mean of its divisors is an integer number (6619439232).

Almost surely, 2^100100011003 is an apocalyptic number.

100100011003 is a deficient number, since it is larger than the sum of its proper divisors (5811016709).

100100011003 is a wasteful number, since it uses less digits than its factorization.

100100011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46026.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100100011003 its reverse (300110001001), we get a palindrome (400210012004).

The spelling of 100100011003 in words is "one hundred billion, one hundred million, eleven thousand, three".