10312404161221 has 2 divisors, whose sum is σ = 10312404161222. Its totient is φ = 10312404161220.

The previous prime is 10312404161183. The next prime is 10312404161251. The reversal of 10312404161221 is 12216140421301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6329928924225 + 3982475236996 = 2515935^2 + 1995614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312404161221 - 2³⁷ = 10174965207749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10312404161221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312404161251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156202080610 + 5156202080611.

It is an arithmetic number, because the mean of its divisors is an integer number (5156202080611).

Almost surely, 2^{10312404161221} is an apocalyptic number.

It is an amenable number.

10312404161221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312404161221 is an equidigital number, since it uses as much as digits as its factorization.

10312404161221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 10312404161221 its reverse (12216140421301), we get a palindrome (22528544582522).

The spelling of 10312404161221 in words is "ten trillion, three hundred twelve billion, four hundred four million, one hundred sixty-one thousand, two hundred twenty-one".