202212221111129 has 2 divisors, whose sum is σ = 202212221111130. Its totient is φ = 202212221111128.

The previous prime is 202212221111107. The next prime is 202212221111161. The reversal of 202212221111129 is 921111122212202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179757436243225 + 22454784867904 = 13407365^2 + 4738648^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212221111129 - 2²⁸ = 202211952675673 is a prime.

It is a super-2 number, since 2×202212221111129² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (202212221111029) 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, 101106110555564 + 101106110555565.

It is an arithmetic number, because the mean of its divisors is an integer number (101106110555565).

Almost surely, 2^{202212221111129} is an apocalyptic number.

It is an amenable number.

202212221111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212221111129 is an equidigital number, since it uses as much as digits as its factorization.

202212221111129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 202212221111129 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-nine".