10321213223221 has 16 divisors (see below), whose sum is σ = 10808369051760. Its totient is φ = 9843409515520.

The previous prime is 10321213223177. The next prime is 10321213223227. The reversal of 10321213223221 is 12232231212301.

10321213223221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13973604100 + 10307239619121 = 118210^2 + 3210489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10321213223221 - 2⁹ = 10321213222709 is a prime.

It is a super-2 number, since 2×10321213223221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321213223227) 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, 4414570 + ... + 6334891.

It is an arithmetic number, because the mean of its divisors is an integer number (675523065735).

Almost surely, 2^{10321213223221} is an apocalyptic number.

It is an amenable number.

10321213223221 is a deficient number, since it is larger than the sum of its proper divisors (487155828539).

10321213223221 is a wasteful number, since it uses less digits than its factorization.

10321213223221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10749896.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10321213223221 its reverse (12232231212301), we get a palindrome (22553444435522).

The spelling of 10321213223221 in words is "ten trillion, three hundred twenty-one billion, two hundred thirteen million, two hundred twenty-three thousand, two hundred twenty-one".