200210122270129 has 2 divisors, whose sum is σ = 200210122270130. Its totient is φ = 200210122270128.

The previous prime is 200210122270033. The next prime is 200210122270153. The reversal of 200210122270129 is 921072221012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190710023648400 + 9500098621729 = 13809780^2 + 3082223^2 .

It is a cyclic number.

It is not a de Polignac number, because 200210122270129 - 2²⁵ = 200210088715697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200210122270129.

It is not a weakly prime, because it can be changed into another prime (200210122270159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105061135064 + 100105061135065.

It is an arithmetic number, because the mean of its divisors is an integer number (100105061135065).

Almost surely, 2^{200210122270129} is an apocalyptic number.

It is an amenable number.

200210122270129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210122270129 is an equidigital number, since it uses as much as digits as its factorization.

200210122270129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 200210122270129 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred seventy thousand, one hundred twenty-nine".