27664071101 has 2 divisors, whose sum is σ = 27664071102. Its totient is φ = 27664071100.

The previous prime is 27664071047. The next prime is 27664071103. The reversal of 27664071101 is 10117046672.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26430305476 + 1233765625 = 162574^2 + 35125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27664071101 is a prime.

Together with 27664071103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27664071103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13832035550 + 13832035551.

It is an arithmetic number, because the mean of its divisors is an integer number (13832035551).

Almost surely, 2^27664071101 is an apocalyptic number.

It is an amenable number.

27664071101 is a deficient number, since it is larger than the sum of its proper divisors (1).

27664071101 is an equidigital number, since it uses as much as digits as its factorization.

27664071101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 27664071101 in words is "twenty-seven billion, six hundred sixty-four million, seventy-one thousand, one hundred one".