102122242129 has 2 divisors, whose sum is σ = 102122242130. Its totient is φ = 102122242128.

The previous prime is 102122242099. The next prime is 102122242141. The reversal of 102122242129 is 921242221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73973120400 + 28149121729 = 271980^2 + 167777^2 .

It is an emirp because it is prime and its reverse (921242221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102122242129 - 2¹⁵ = 102122209361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122242097 and 102122242106.

It is not a weakly prime, because it can be changed into another prime (102122246129) 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, 51061121064 + 51061121065.

It is an arithmetic number, because the mean of its divisors is an integer number (51061121065).

Almost surely, 2^102122242129 is an apocalyptic number.

It is an amenable number.

102122242129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122242129 is an equidigital number, since it uses as much as digits as its factorization.

102122242129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 102122242129 in words is "one hundred two billion, one hundred twenty-two million, two hundred forty-two thousand, one hundred twenty-nine".