103201566289 has 2 divisors, whose sum is σ = 103201566290. Its totient is φ = 103201566288.

The previous prime is 103201566287. The next prime is 103201566373. The reversal of 103201566289 is 982665102301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99330237889 + 3871328400 = 315167^2 + 62220^2 .

It is a cyclic number.

It is not a de Polignac number, because 103201566289 - 2¹ = 103201566287 is a prime.

It is a super-2 number, since 2×103201566289² (a number of 23 digits) contains 22 as substring.

Together with 103201566287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103201566287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51600783144 + 51600783145.

It is an arithmetic number, because the mean of its divisors is an integer number (51600783145).

Almost surely, 2^103201566289 is an apocalyptic number.

It is an amenable number.

103201566289 is a deficient number, since it is larger than the sum of its proper divisors (1).

103201566289 is an equidigital number, since it uses as much as digits as its factorization.

103201566289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 43.

It can be divided in two parts, 1032015 and 66289, that added together give a square (1098304 = 1048²).

The spelling of 103201566289 in words is "one hundred three billion, two hundred one million, five hundred sixty-six thousand, two hundred eighty-nine".