10123727777 has 2 divisors, whose sum is σ = 10123727778. Its totient is φ = 10123727776.

The previous prime is 10123727773. The next prime is 10123727821. The reversal of 10123727777 is 77772732101.

It is an a-pointer prime, because the next prime (10123727821) can be obtained adding 10123727777 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9824576161 + 299151616 = 99119^2 + 17296^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123727777 - 2² = 10123727773 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123727773) 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, 5061863888 + 5061863889.

It is an arithmetic number, because the mean of its divisors is an integer number (5061863889).

Almost surely, 2^10123727777 is an apocalyptic number.

It is an amenable number.

10123727777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123727777 is an equidigital number, since it uses as much as digits as its factorization.

10123727777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201684, while the sum is 44.

The spelling of 10123727777 in words is "ten billion, one hundred twenty-three million, seven hundred twenty-seven thousand, seven hundred seventy-seven".