102772704172249 has 2 divisors, whose sum is σ = 102772704172250. Its totient is φ = 102772704172248.

The previous prime is 102772704172181. The next prime is 102772704172277. The reversal of 102772704172249 is 942271407277201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92076978705625 + 10695725466624 = 9595675^2 + 3270432^2 .

It is a cyclic number.

It is not a de Polignac number, because 102772704172249 - 2⁹ = 102772704171737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102772704172249.

It is not a weakly prime, because it can be changed into another prime (102772704152249) 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, 51386352086124 + 51386352086125.

It is an arithmetic number, because the mean of its divisors is an integer number (51386352086125).

Almost surely, 2^{102772704172249} is an apocalyptic number.

It is an amenable number.

102772704172249 is a deficient number, since it is larger than the sum of its proper divisors (1).

102772704172249 is an equidigital number, since it uses as much as digits as its factorization.

102772704172249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5531904, while the sum is 55.

The spelling of 102772704172249 in words is "one hundred two trillion, seven hundred seventy-two billion, seven hundred four million, one hundred seventy-two thousand, two hundred forty-nine".