2002100002100 has 72 divisors (see below), whose sum is σ = 4749250070208. Its totient is φ = 726541228800.

The previous prime is 2002100002087. The next prime is 2002100002183. The reversal of 2002100002100 is 12000012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332977 + ... + 2404376.

Almost surely, 2^{2002100002100} is an apocalyptic number.

2002100002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100002100 is an abundant number, since it is smaller than the sum of its proper divisors (2747150068108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002100002100 is a wasteful number, since it uses less digits than its factorization.

2002100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737865 (or 3737858 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2002100002100 its reverse (12000012002), we get a palindrome (2014100014102).

The spelling of 2002100002100 in words is "two trillion, two billion, one hundred million, two thousand, one hundred".