182222134121 has 2 divisors, whose sum is σ = 182222134122. Its totient is φ = 182222134120.

The previous prime is 182222134097. The next prime is 182222134123. The reversal of 182222134121 is 121431222281.

182222134121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161253646096 + 20968488025 = 401564^2 + 144805^2 .

It is an emirp because it is prime and its reverse (121431222281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 182222134121 - 2⁶ = 182222134057 is a prime.

It is a super-2 number, since 2×182222134121² (a number of 23 digits) contains 22 as substring.

Together with 182222134123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (182222134123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91111067060 + 91111067061.

It is an arithmetic number, because the mean of its divisors is an integer number (91111067061).

Almost surely, 2^182222134121 is an apocalyptic number.

It is an amenable number.

182222134121 is a deficient number, since it is larger than the sum of its proper divisors (1).

182222134121 is an equidigital number, since it uses as much as digits as its factorization.

182222134121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 29.

The spelling of 182222134121 in words is "one hundred eighty-two billion, two hundred twenty-two million, one hundred thirty-four thousand, one hundred twenty-one".