102414413123249 has 2 divisors, whose sum is σ = 102414413123250. Its totient is φ = 102414413123248.

The previous prime is 102414413123237. The next prime is 102414413123357. The reversal of 102414413123249 is 942321314414201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100505437057600 + 1908976065649 = 10025240^2 + 1381657^2 .

It is a cyclic number.

It is not a de Polignac number, because 102414413123249 - 2³⁶ = 102345693646513 is a prime.

It is not a weakly prime, because it can be changed into another prime (102414413123219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51207206561624 + 51207206561625.

It is an arithmetic number, because the mean of its divisors is an integer number (51207206561625).

Almost surely, 2^{102414413123249} is an apocalyptic number.

It is an amenable number.

102414413123249 is a deficient number, since it is larger than the sum of its proper divisors (1).

102414413123249 is an equidigital number, since it uses as much as digits as its factorization.

102414413123249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 102414413123249 in words is "one hundred two trillion, four hundred fourteen billion, four hundred thirteen million, one hundred twenty-three thousand, two hundred forty-nine".