2002132013221 has 8 divisors (see below), whose sum is σ = 2056403664504. Its totient is φ = 1947868781760.

The previous prime is 2002132013209. The next prime is 2002132013237. The reversal of 2002132013221 is 1223102312002.

It can be written as a sum of positive squares in 4 ways, for example, as 323516376225 + 1678615636996 = 568785^2 + 1295614^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002132013221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002132013251) 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 7 ways as a sum of consecutive naturals, for example, 1621450 + ... + 2575531.

It is an arithmetic number, because the mean of its divisors is an integer number (257050458063).

Almost surely, 2^{2002132013221} is an apocalyptic number.

It is an amenable number.

2002132013221 is a deficient number, since it is larger than the sum of its proper divisors (54271651283).

2002132013221 is a wasteful number, since it uses less digits than its factorization.

2002132013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209911.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2002132013221 its reverse (1223102312002), we get a palindrome (3225234325223).

The spelling of 2002132013221 in words is "two trillion, two billion, one hundred thirty-two million, thirteen thousand, two hundred twenty-one".