10002100000020 has 48 divisors (see below), whose sum is σ = 28106984306688. Its totient is φ = 2657597685120.

The previous prime is 10002100000001. The next prime is 10002100000063. The reversal of 10002100000020 is 2000000120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10002099999954 and 10002100000008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300888916 + ... + 300922155.

It is an arithmetic number, because the mean of its divisors is an integer number (585562173056).

Almost surely, 2^{10002100000020} is an apocalyptic number.

10002100000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002100000020 is an abundant number, since it is smaller than the sum of its proper divisors (18104884306668).

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

10002100000020 is a wasteful number, since it uses less digits than its factorization.

10002100000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601811360 (or 601811358 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10002100000020 its reverse (2000000120001), we get a palindrome (12002100120021).

The spelling of 10002100000020 in words is "ten trillion, two billion, one hundred million, twenty", and thus it is an aban number.