10122085009 has 2 divisors, whose sum is σ = 10122085010. Its totient is φ = 10122085008.

The previous prime is 10122084989. The next prime is 10122085021. The reversal of 10122085009 is 90058022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5484883600 + 4637201409 = 74060^2 + 68097^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122085009 - 2¹¹ = 10122082961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122025009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061042504 + 5061042505.

It is an arithmetic number, because the mean of its divisors is an integer number (5061042505).

Almost surely, 2^10122085009 is an apocalyptic number.

It is an amenable number.

10122085009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122085009 is an equidigital number, since it uses as much as digits as its factorization.

10122085009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 10122085009 in words is "ten billion, one hundred twenty-two million, eighty-five thousand, nine".