10002120103321 has 16 divisors (see below), whose sum is σ = 10881579520000. Its totient is φ = 9158717725200.

The previous prime is 10002120103303. The next prime is 10002120103331. The reversal of 10002120103321 is 12330102120001.

It is a cyclic number.

It is not a de Polignac number, because 10002120103321 - 2¹⁷ = 10002119972249 is a prime.

It is a super-2 number, since 2×10002120103321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002120103295 and 10002120103304.

It is not an unprimeable number, because it can be changed into a prime (10002120103331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9991821 + ... + 10947178.

It is an arithmetic number, because the mean of its divisors is an integer number (680098720000).

Almost surely, 2^{10002120103321} is an apocalyptic number.

It is an amenable number.

10002120103321 is a deficient number, since it is larger than the sum of its proper divisors (879459416679).

10002120103321 is a wasteful number, since it uses less digits than its factorization.

10002120103321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20939860.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10002120103321 its reverse (12330102120001), we get a palindrome (22332222223322).

The spelling of 10002120103321 in words is "ten trillion, two billion, one hundred twenty million, one hundred three thousand, three hundred twenty-one".