27777645101 has 2 divisors, whose sum is σ = 27777645102. Its totient is φ = 27777645100.

The previous prime is 27777645079. The next prime is 27777645107. The reversal of 27777645101 is 10154677772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18292833001 + 9484812100 = 135251^2 + 97390^2 .

It is a cyclic number.

It is not a de Polignac number, because 27777645101 - 2¹⁰ = 27777644077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27777645107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13888822550 + 13888822551.

It is an arithmetic number, because the mean of its divisors is an integer number (13888822551).

Almost surely, 2^27777645101 is an apocalyptic number.

It is an amenable number.

27777645101 is a deficient number, since it is larger than the sum of its proper divisors (1).

27777645101 is an equidigital number, since it uses as much as digits as its factorization.

27777645101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576240, while the sum is 47.

The spelling of 27777645101 in words is "twenty-seven billion, seven hundred seventy-seven million, six hundred forty-five thousand, one hundred one".