200212010132129 has 2 divisors, whose sum is σ = 200212010132130. Its totient is φ = 200212010132128.

The previous prime is 200212010132087. The next prime is 200212010132131. The reversal of 200212010132129 is 921231010212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198868096243600 + 1343913888529 = 14102060^2 + 1159273^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212010132129 - 2²⁰ = 200212009083553 is a prime.

It is a super-2 number, since 2×200212010132129² (a number of 29 digits) contains 22 as substring.

Together with 200212010132131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 200212010132098 and 200212010132107.

It is not a weakly prime, because it can be changed into another prime (200212010122129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106005066064 + 100106005066065.

It is an arithmetic number, because the mean of its divisors is an integer number (100106005066065).

Almost surely, 2^{200212010132129} is an apocalyptic number.

It is an amenable number.

200212010132129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212010132129 is an equidigital number, since it uses as much as digits as its factorization.

200212010132129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 200212010132129 in words is "two hundred trillion, two hundred twelve billion, ten million, one hundred thirty-two thousand, one hundred twenty-nine".