102264132577 has 2 divisors, whose sum is σ = 102264132578. Its totient is φ = 102264132576.

The previous prime is 102264132541. The next prime is 102264132601. The reversal of 102264132577 is 775231462201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72363152016 + 29900980561 = 269004^2 + 172919^2 .

It is a cyclic number.

It is not a de Polignac number, because 102264132577 - 2³⁵ = 67904394209 is a prime.

It is not a weakly prime, because it can be changed into another prime (102264132527) 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, 51132066288 + 51132066289.

It is an arithmetic number, because the mean of its divisors is an integer number (51132066289).

Almost surely, 2^102264132577 is an apocalyptic number.

It is an amenable number.

102264132577 is a deficient number, since it is larger than the sum of its proper divisors (1).

102264132577 is an equidigital number, since it uses as much as digits as its factorization.

102264132577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 102264132577 its reverse (775231462201), we get a palindrome (877495594778).

The spelling of 102264132577 in words is "one hundred two billion, two hundred sixty-four million, one hundred thirty-two thousand, five hundred seventy-seven".