102222122113 has 2 divisors, whose sum is σ = 102222122114. Its totient is φ = 102222122112.

The previous prime is 102222122099. The next prime is 102222122173. The reversal of 102222122113 is 311221222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52692284304 + 49529837809 = 229548^2 + 222553^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222122113 - 2²¹ = 102220024961 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222122173) 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, 51111061056 + 51111061057.

It is an arithmetic number, because the mean of its divisors is an integer number (51111061057).

Almost surely, 2^102222122113 is an apocalyptic number.

It is an amenable number.

102222122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222122113 is an equidigital number, since it uses as much as digits as its factorization.

102222122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102222122113 its reverse (311221222201), we get a palindrome (413443344314).

The spelling of 102222122113 in words is "one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred thirteen".