10221120321213 has 8 divisors (see below), whose sum is σ = 13630031686368. Its totient is φ = 6813144585104.

The previous prime is 10221120321187. The next prime is 10221120321239. The reversal of 10221120321213 is 31212302112201.

It is an interprime number because it is at equal distance from previous prime (10221120321187) and next prime (10221120321239).

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

It is a cyclic number.

It is not a de Polignac number, because 10221120321213 - 2⁹ = 10221120320701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221120321213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221120322213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233881770 + ... + 233925467.

It is an arithmetic number, because the mean of its divisors is an integer number (1703753960796).

Almost surely, 2^{10221120321213} is an apocalyptic number.

It is an amenable number.

10221120321213 is a deficient number, since it is larger than the sum of its proper divisors (3408911365155).

10221120321213 is an equidigital number, since it uses as much as digits as its factorization.

10221120321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467814523.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10221120321213 its reverse (31212302112201), we get a palindrome (41433422433414).

The spelling of 10221120321213 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, three hundred twenty-one thousand, two hundred thirteen".