2021330020000 has 120 divisors (see below), whose sum is σ = 4973809836996. Its totient is φ = 808363776000.

The previous prime is 2021330019949. The next prime is 2021330020001. The reversal of 2021330020000 is 200331202.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1027376851216 + 993953168784 = 1013596^2 + 996972^2 .

It is not an unprimeable number, because it can be changed into a prime (2021330020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148653202 + ... + 148666798.

Almost surely, 2^{2021330020000} is an apocalyptic number.

2021330020000 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 2021330020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486904918498).

2021330020000 is an abundant number, since it is smaller than the sum of its proper divisors (2952479816996).

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

2021330020000 is an equidigital number, since it uses as much as digits as its factorization.

2021330020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2021330020000 its reverse (200331202), we get a palindrome (2021530351202).

The spelling of 2021330020000 in words is "two trillion, twenty-one billion, three hundred thirty million, twenty thousand".