102114125129 has 2 divisors, whose sum is σ = 102114125130. Its totient is φ = 102114125128.

The previous prime is 102114125123. The next prime is 102114125149. The reversal of 102114125129 is 921521411201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80055043600 + 22059081529 = 282940^2 + 148523^2 .

It is an emirp because it is prime and its reverse (921521411201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102114125129 is a prime.

It is a super-2 number, since 2×102114125129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102114125123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51057062564 + 51057062565.

It is an arithmetic number, because the mean of its divisors is an integer number (51057062565).

Almost surely, 2^102114125129 is an apocalyptic number.

It is an amenable number.

102114125129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102114125129 is an equidigital number, since it uses as much as digits as its factorization.

102114125129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 102114125129 in words is "one hundred two billion, one hundred fourteen million, one hundred twenty-five thousand, one hundred twenty-nine".