2021221332000 has 288 divisors, whose sum is σ = 7725109719600. Its totient is φ = 497531289600.

The previous prime is 2021221331993. The next prime is 2021221332023. The reversal of 2021221332000 is 2331221202.

It can be written as a sum of positive squares in 8 ways, for example, as 604569744 + 2020616762256 = 24588^2 + 1421484^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1691425 + ... + 2627424.

Almost surely, 2^{2021221332000} is an apocalyptic number.

2021221332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021221332000 is an abundant number, since it is smaller than the sum of its proper divisors (5703888387600).

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

2021221332000 is a wasteful number, since it uses less digits than its factorization.

2021221332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318893 (or 4318872 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2021221332000 its reverse (2331221202), we get a palindrome (2023552553202).

The spelling of 2021221332000 in words is "two trillion, twenty-one billion, two hundred twenty-one million, three hundred thirty-two thousand".