10121210000009 has 2 divisors, whose sum is σ = 10121210000010. Its totient is φ = 10121210000008.

The previous prime is 10121209999997. The next prime is 10121210000129. The reversal of 10121210000009 is 90000001212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6603229605625 + 3517980394384 = 2569675^2 + 1875628^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121210000009 - 2⁴ = 10121209999993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121210008009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060605000004 + 5060605000005.

It is an arithmetic number, because the mean of its divisors is an integer number (5060605000005).

Almost surely, 2^{10121210000009} is an apocalyptic number.

It is an amenable number.

10121210000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121210000009 is an equidigital number, since it uses as much as digits as its factorization.

10121210000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10121210000009 in words is "ten trillion, one hundred twenty-one billion, two hundred ten million, nine", and thus it is an aban number.