10004414121209 has 2 divisors, whose sum is σ = 10004414121210. Its totient is φ = 10004414121208.

The previous prime is 10004414121187. The next prime is 10004414121281. The reversal of 10004414121209 is 90212141440001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9197420925625 + 806993195584 = 3032725^2 + 898328^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004414121209 - 2¹⁶ = 10004414055673 is a prime.

It is not a weakly prime, because it can be changed into another prime (10004414021209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002207060604 + 5002207060605.

It is an arithmetic number, because the mean of its divisors is an integer number (5002207060605).

Almost surely, 2^{10004414121209} is an apocalyptic number.

It is an amenable number.

10004414121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004414121209 is an equidigital number, since it uses as much as digits as its factorization.

10004414121209 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 29.

The spelling of 10004414121209 in words is "ten trillion, four billion, four hundred fourteen million, one hundred twenty-one thousand, two hundred nine".