10211221012009 has 2 divisors, whose sum is σ = 10211221012010. Its totient is φ = 10211221012008.

The previous prime is 10211221011923. The next prime is 10211221012019. The reversal of 10211221012009 is 90021012211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9664513088400 + 546707923609 = 3108780^2 + 739397^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211221012009 - 2¹⁷ = 10211220880937 is a prime.

It is a super-2 number, since 2×10211221012009² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10211221012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105610506004 + 5105610506005.

It is an arithmetic number, because the mean of its divisors is an integer number (5105610506005).

Almost surely, 2^{10211221012009} is an apocalyptic number.

It is an amenable number.

10211221012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211221012009 is an equidigital number, since it uses as much as digits as its factorization.

10211221012009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10211221012009 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, twelve thousand, nine".