102222112129 has 2 divisors, whose sum is σ = 102222112130. Its totient is φ = 102222112128.

The previous prime is 102222112117. The next prime is 102222112133. The reversal of 102222112129 is 921211222201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96642022129 + 5580090000 = 310873^2 + 74700^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222112129 - 2³¹ = 100074628481 is a prime.

It is a super-2 number, since 2×102222112129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102222112169) 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, 51111056064 + 51111056065.

It is an arithmetic number, because the mean of its divisors is an integer number (51111056065).

Almost surely, 2^102222112129 is an apocalyptic number.

It is an amenable number.

102222112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222112129 is an equidigital number, since it uses as much as digits as its factorization.

102222112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 102222112129 in words is "one hundred two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-nine".