2002200100103 has 64 divisors (see below), whose sum is σ = 2577062476800. Its totient is φ = 1517154831360.

The previous prime is 2002200100099. The next prime is 2002200100133. The reversal of 2002200100103 is 3010010022002.

It is a happy number.

It is not a de Polignac number, because 2002200100103 - 2² = 2002200100099 is a prime.

It is a super-2 number, since 2×2002200100103² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200100133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11819801 + ... + 11987997.

It is an arithmetic number, because the mean of its divisors is an integer number (40266601200).

Almost surely, 2^{2002200100103} is an apocalyptic number.

2002200100103 is a deficient number, since it is larger than the sum of its proper divisors (574862376697).

2002200100103 is a wasteful number, since it uses less digits than its factorization.

2002200100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168360.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2002200100103 its reverse (3010010022002), we get a palindrome (5012210122105).

The spelling of 2002200100103 in words is "two trillion, two billion, two hundred million, one hundred thousand, one hundred three".