200212010122129 has 2 divisors, whose sum is σ = 200212010122130. Its totient is φ = 200212010122128.

The previous prime is 200212010122099. The next prime is 200212010122177. The reversal of 200212010122129 is 921221010212002.

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., 127077102031104 + 73134908091025 = 11272848^2 + 8551895^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212010122129 - 2⁵ = 200212010122097 is a prime.

It is not a weakly prime, because it can be changed into another prime (200212010132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106005061064 + 100106005061065.

It is an arithmetic number, because the mean of its divisors is an integer number (100106005061065).

Almost surely, 2^{200212010122129} is an apocalyptic number.

It is an amenable number.

200212010122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212010122129 is an equidigital number, since it uses as much as digits as its factorization.

200212010122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 200212010122129 in words is "two hundred trillion, two hundred twelve billion, ten million, one hundred twenty-two thousand, one hundred twenty-nine".