2002021100020 has 144 divisors (see below), whose sum is σ = 4704477010128. Its totient is φ = 713076019200.

The previous prime is 2002021099993. The next prime is 2002021100041. The reversal of 2002021100020 is 200011202002.

It can be written as a sum of positive squares in 8 ways, for example, as 210508451344 + 1791512648676 = 458812^2 + 1338474^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 94867470 + ... + 94888570.

It is an arithmetic number, because the mean of its divisors is an integer number (32669979237).

Almost surely, 2^{2002021100020} is an apocalyptic number.

2002021100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002021100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352238505064).

2002021100020 is an abundant number, since it is smaller than the sum of its proper divisors (2702455910108).

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

2002021100020 is a wasteful number, since it uses less digits than its factorization.

2002021100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002021100020 its reverse (200011202002), we get a palindrome (2202032302022).

The spelling of 2002021100020 in words is "two trillion, two billion, twenty-one million, one hundred thousand, twenty".