2002100020123 has 16 divisors (see below), whose sum is σ = 2424474002880. Its totient is φ = 1613963022336.

The previous prime is 2002100020013. The next prime is 2002100020133. The reversal of 2002100020123 is 3210200012002.

It is a de Polignac number, because none of the positive numbers 2^k-2002100020123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002100020133) 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 15 ways as a sum of consecutive naturals, for example, 5963478 + ... + 6290251.

It is an arithmetic number, because the mean of its divisors is an integer number (151529625180).

Almost surely, 2^{2002100020123} is an apocalyptic number.

2002100020123 is a deficient number, since it is larger than the sum of its proper divisors (422373982757).

2002100020123 is a wasteful number, since it uses less digits than its factorization.

2002100020123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255126.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2002100020123 its reverse (3210200012002), we get a palindrome (5212300032125).

The spelling of 2002100020123 in words is "two trillion, two billion, one hundred million, twenty thousand, one hundred twenty-three".