10002121321 has 4 divisors (see below), whose sum is σ = 10002898000. Its totient is φ = 10001344644.

The previous prime is 10002121313. The next prime is 10002121351. The reversal of 10002121321 is 12312120001.

10002121321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 12312120001 = 17 ⋅724242353.

It is a cyclic number.

It is not a de Polignac number, because 10002121321 - 2³ = 10002121313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368691 + ... + 394888.

It is an arithmetic number, because the mean of its divisors is an integer number (2500724500).

Almost surely, 2^10002121321 is an apocalyptic number.

It is an amenable number.

10002121321 is a deficient number, since it is larger than the sum of its proper divisors (776679).

10002121321 is an equidigital number, since it uses as much as digits as its factorization.

10002121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776678.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10002121321 its reverse (12312120001), we get a palindrome (22314241322).

The spelling of 10002121321 in words is "ten billion, two million, one hundred twenty-one thousand, three hundred twenty-one".