102100202001209 has 2 divisors, whose sum is σ = 102100202001210. Its totient is φ = 102100202001208.

The previous prime is 102100202001181. The next prime is 102100202001241. The reversal of 102100202001209 is 902100202001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95068837605625 + 7031364395584 = 9750325^2 + 2651672^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102100202001209 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100202003209) 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, 51050101000604 + 51050101000605.

It is an arithmetic number, because the mean of its divisors is an integer number (51050101000605).

Almost surely, 2^{102100202001209} is an apocalyptic number.

It is an amenable number.

102100202001209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100202001209 is an equidigital number, since it uses as much as digits as its factorization.

102100202001209 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 20.

The spelling of 102100202001209 in words is "one hundred two trillion, one hundred billion, two hundred two million, one thousand, two hundred nine".