102220200121009 has 2 divisors, whose sum is σ = 102220200121010. Its totient is φ = 102220200121008.

The previous prime is 102220200120959. The next prime is 102220200121037. The reversal of 102220200121009 is 900121002022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88032713630625 + 14187486490384 = 9382575^2 + 3766628^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220200121009 - 2³⁹ = 101670444307121 is a prime.

It is not a weakly prime, because it can be changed into another prime (102220200125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110100060504 + 51110100060505.

It is an arithmetic number, because the mean of its divisors is an integer number (51110100060505).

Almost surely, 2^{102220200121009} is an apocalyptic number.

It is an amenable number.

102220200121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220200121009 is an equidigital number, since it uses as much as digits as its factorization.

102220200121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 102220200121009 in words is "one hundred two trillion, two hundred twenty billion, two hundred million, one hundred twenty-one thousand, nine".