212000100102209 has 2 divisors, whose sum is σ = 212000100102210. Its totient is φ = 212000100102208.

The previous prime is 212000100102149. The next prime is 212000100102251. The reversal of 212000100102209 is 902201001000212.

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., 164737610050225 + 47262490051984 = 12835015^2 + 6874772^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000100102209 - 2¹² = 212000100098113 is a prime.

It is not a weakly prime, because it can be changed into another prime (212000100102269) 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, 106000050051104 + 106000050051105.

It is an arithmetic number, because the mean of its divisors is an integer number (106000050051105).

Almost surely, 2^{212000100102209} is an apocalyptic number.

It is an amenable number.

212000100102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000100102209 is an equidigital number, since it uses as much as digits as its factorization.

212000100102209 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 212000100102209 in words is "two hundred twelve trillion, one hundred million, one hundred two thousand, two hundred nine".