202201222202129 has 2 divisors, whose sum is σ = 202201222202130. Its totient is φ = 202201222202128.

The previous prime is 202201222202093. The next prime is 202201222202137. The reversal of 202201222202129 is 921202222102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184822937401600 + 17378284800529 = 13594960^2 + 4168727^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201222202129 - 2²⁰ = 202201221153553 is a prime.

It is not a weakly prime, because it can be changed into another prime (202201222202179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100611101064 + 101100611101065.

It is an arithmetic number, because the mean of its divisors is an integer number (101100611101065).

Almost surely, 2^{202201222202129} is an apocalyptic number.

It is an amenable number.

202201222202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201222202129 is an equidigital number, since it uses as much as digits as its factorization.

202201222202129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 202201222202129 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty-nine".