102114125089 has 2 divisors, whose sum is σ = 102114125090. Its totient is φ = 102114125088.

The previous prime is 102114125077. The next prime is 102114125101. The reversal of 102114125089 is 980521411201.

It is a balanced prime because it is at equal distance from previous prime (102114125077) and next prime (102114125101).

It can be written as a sum of positive squares in only one way, i.e., 100293822864 + 1820302225 = 316692^2 + 42665^2 .

It is an emirp because it is prime and its reverse (980521411201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102114125089 - 2⁹ = 102114124577 is a prime.

It is not a weakly prime, because it can be changed into another prime (102114125059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51057062544 + 51057062545.

It is an arithmetic number, because the mean of its divisors is an integer number (51057062545).

Almost surely, 2^102114125089 is an apocalyptic number.

It is an amenable number.

102114125089 is a deficient number, since it is larger than the sum of its proper divisors (1).

102114125089 is an equidigital number, since it uses as much as digits as its factorization.

102114125089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 102114125089 in words is "one hundred two billion, one hundred fourteen million, one hundred twenty-five thousand, eighty-nine".