2002321100020 has 24 divisors (see below), whose sum is σ = 4208057464968. Its totient is φ = 800322124800.

The previous prime is 2002321100009. The next prime is 2002321100029. The reversal of 2002321100020 is 200011232002.

It can be written as a sum of positive squares in 4 ways, for example, as 715262615824 + 1287058484196 = 845732^2 + 1134486^2 .

It is a super-3 number, since 3×2002321100020³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002321100029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37867621 + ... + 37920460.

It is an arithmetic number, because the mean of its divisors is an integer number (175335727707).

Almost surely, 2^{2002321100020} is an apocalyptic number.

2002321100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002321100020 is an abundant number, since it is smaller than the sum of its proper divisors (2205736364948).

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

2002321100020 is a wasteful number, since it uses less digits than its factorization.

2002321100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75789411 (or 75789409 counting only the distinct ones).

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

Adding to 2002321100020 its reverse (200011232002), we get a palindrome (2202332332022).

The spelling of 2002321100020 in words is "two trillion, two billion, three hundred twenty-one million, one hundred thousand, twenty".