12210010302321 has 12 divisors (see below), whose sum is σ = 18993349359348. Its totient is φ = 7513852493664.

The previous prime is 12210010302311. The next prime is 12210010302517. The reversal of 12210010302321 is 12320301001221.

12210010302321 is a `hidden beast` number, since 1 + 22 + 10 + 0 + 10 + 302 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1833752013921 + 10376258288400 = 1354161^2 + 3221220^2 .

It is not a de Polignac number, because 12210010302321 - 2⁹ = 12210010301809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210010302294 and 12210010302303.

It is not an unprimeable number, because it can be changed into a prime (12210010302311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52179531090 + ... + 52179531323.

It is an arithmetic number, because the mean of its divisors is an integer number (1582779113279).

Almost surely, 2^{12210010302321} is an apocalyptic number.

It is an amenable number.

12210010302321 is a deficient number, since it is larger than the sum of its proper divisors (6783339057027).

12210010302321 is a wasteful number, since it uses less digits than its factorization.

12210010302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104359062432 (or 104359062429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12210010302321 its reverse (12320301001221), we get a palindrome (24530311303542).

The spelling of 12210010302321 in words is "twelve trillion, two hundred ten billion, ten million, three hundred two thousand, three hundred twenty-one".