2002100000020 has 12 divisors (see below), whose sum is σ = 4204410000084. Its totient is φ = 800840000000.

The previous prime is 2002100000011. The next prime is 2002100000041. The reversal of 2002100000020 is 200000012002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 398903401744 + 1603196598276 = 631588^2 + 1266174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002099999949 and 2002100000012.

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 3 ways as a sum of consecutive naturals, for example, 50052499981 + ... + 50052500020.

It is an arithmetic number, because the mean of its divisors is an integer number (350367500007).

Almost surely, 2^{2002100000020} is an apocalyptic number.

2002100000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100000020 is an abundant number, since it is smaller than the sum of its proper divisors (2202310000064).

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

2002100000020 is a wasteful number, since it uses less digits than its factorization.

2002100000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000010 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2002100000020 its reverse (200000012002), we get a palindrome (2202100012022).

The spelling of 2002100000020 in words is "two trillion, two billion, one hundred million, twenty", and thus it is an aban number.