2002100000103 has 48 divisors (see below), whose sum is σ = 3320985298176. Its totient is φ = 1138546632960.

The previous prime is 2002100000099. The next prime is 2002100000141. The reversal of 2002100000103 is 3010000012002.

It is a happy number.

It is not a de Polignac number, because 2002100000103 - 2² = 2002100000099 is a prime.

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 (2002100010103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36168175 + ... + 36223487.

It is an arithmetic number, because the mean of its divisors is an integer number (69187193712).

Almost surely, 2^{2002100000103} is an apocalyptic number.

2002100000103 is a deficient number, since it is larger than the sum of its proper divisors (1318885298073).

2002100000103 is a wasteful number, since it uses less digits than its factorization.

2002100000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58084 (or 58081 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2002100000103 its reverse (3010000012002), we get a palindrome (5012100012105).

The spelling of 2002100000103 in words is "two trillion, two billion, one hundred million, one hundred three", and thus it is an aban number.