102144111412517 has 2 divisors, whose sum is σ = 102144111412518. Its totient is φ = 102144111412516.

The previous prime is 102144111412429. The next prime is 102144111412613. The reversal of 102144111412517 is 715214111441201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85569881659201 + 16574229753316 = 9250399^2 + 4071146^2 .

It is a cyclic number.

It is not a de Polignac number, because 102144111412517 - 2²⁰ = 102144110363941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102144111112517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51072055706258 + 51072055706259.

It is an arithmetic number, because the mean of its divisors is an integer number (51072055706259).

Almost surely, 2^{102144111412517} is an apocalyptic number.

It is an amenable number.

102144111412517 is a deficient number, since it is larger than the sum of its proper divisors (1).

102144111412517 is an equidigital number, since it uses as much as digits as its factorization.

102144111412517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 35.

Adding to 102144111412517 its reverse (715214111441201), we get a palindrome (817358222853718).

The spelling of 102144111412517 in words is "one hundred two trillion, one hundred forty-four billion, one hundred eleven million, four hundred twelve thousand, five hundred seventeen".