2001100100103 has 24 divisors (see below), whose sum is σ = 3113052199712. Its totient is φ = 1231355297088.

The previous prime is 2001100100063. The next prime is 2001100100171. The reversal of 2001100100103 is 3010010011002.

It is not a de Polignac number, because 2001100100103 - 2²² = 2001095905799 is a prime.

It is a super-2 number, since 2×2001100100103² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100100173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977550 + ... + 2226612.

Almost surely, 2^{2001100100103} is an apocalyptic number.

2001100100103 is a deficient number, since it is larger than the sum of its proper divisors (1111952099609).

2001100100103 is a wasteful number, since it uses less digits than its factorization.

2001100100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262775 (or 1262772 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2001100100103 its reverse (3010010011002), we get a palindrome (5011110111105).

The spelling of 2001100100103 in words is "two trillion, one billion, one hundred million, one hundred thousand, one hundred three".