12782101 has 2 divisors, whose sum is σ = 12782102. Its totient is φ = 12782100.

The previous prime is 12782087. The next prime is 12782129. The reversal of 12782101 is 10128721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9771876 + 3010225 = 3126^2 + 1735^2 .

It is an emirp because it is prime and its reverse (10128721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12782101 - 2⁹ = 12781589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12782701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6391050 + 6391051.

It is an arithmetic number, because the mean of its divisors is an integer number (6391051).

Almost surely, 2^12782101 is an apocalyptic number.

It is an amenable number.

12782101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12782101 is an equidigital number, since it uses as much as digits as its factorization.

12782101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 12782101 is about 3575.2064276067. The cubic root of 12782101 is about 233.8123327908.

It can be divided in two parts, 127 and 82101, that added together give a palindrome (82228).

The spelling of 12782101 in words is "twelve million, seven hundred eighty-two thousand, one hundred one".