102100222010009 has 2 divisors, whose sum is σ = 102100222010010. Its totient is φ = 102100222010008.

The previous prime is 102100222009969. The next prime is 102100222010023. The reversal of 102100222010009 is 900010222001201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81410414563984 + 20689807446025 = 9022772^2 + 4548605^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100222010009 - 2³² = 102095927042713 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100222010099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050111005004 + 51050111005005.

It is an arithmetic number, because the mean of its divisors is an integer number (51050111005005).

Almost surely, 2^{102100222010009} is an apocalyptic number.

It is an amenable number.

102100222010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100222010009 is an equidigital number, since it uses as much as digits as its factorization.

102100222010009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 102100222010009 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, ten thousand, nine".