102104142113 has 2 divisors, whose sum is σ = 102104142114. Its totient is φ = 102104142112.

The previous prime is 102104142083. The next prime is 102104142137. The reversal of 102104142113 is 311241401201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76270973584 + 25833168529 = 276172^2 + 160727^2 .

It is a cyclic number.

It is not a de Polignac number, because 102104142113 - 2¹⁰ = 102104141089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102104145113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51052071056 + 51052071057.

It is an arithmetic number, because the mean of its divisors is an integer number (51052071057).

Almost surely, 2^102104142113 is an apocalyptic number.

It is an amenable number.

102104142113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102104142113 is an equidigital number, since it uses as much as digits as its factorization.

102104142113 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 20.

Adding to 102104142113 its reverse (311241401201), we get a palindrome (413345543314).

The spelling of 102104142113 in words is "one hundred two billion, one hundred four million, one hundred forty-two thousand, one hundred thirteen".