10005221729 has 2 divisors, whose sum is σ = 10005221730. Its totient is φ = 10005221728.

The previous prime is 10005221719. The next prime is 10005221731. The reversal of 10005221729 is 92712250001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7939701025 + 2065520704 = 89105^2 + 45448^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005221729 - 2⁴ = 10005221713 is a prime.

Together with 10005221731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10005221719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002610864 + 5002610865.

It is an arithmetic number, because the mean of its divisors is an integer number (5002610865).

Almost surely, 2^10005221729 is an apocalyptic number.

It is an amenable number.

10005221729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005221729 is an equidigital number, since it uses as much as digits as its factorization.

10005221729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 10005221729 in words is "ten billion, five million, two hundred twenty-one thousand, seven hundred twenty-nine".