10000111109077 has 2 divisors, whose sum is σ = 10000111109078. Its totient is φ = 10000111109076.

The previous prime is 10000111109063. The next prime is 10000111109083. The reversal of 10000111109077 is 77090111100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9122580570321 + 877530538756 = 3020361^2 + 936766^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000111109077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000111109017) 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, 5000055554538 + 5000055554539.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055554539).

Almost surely, 2^{10000111109077} is an apocalyptic number.

It is an amenable number.

10000111109077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111109077 is an equidigital number, since it uses as much as digits as its factorization.

10000111109077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 28.

Adding to 10000111109077 its reverse (77090111100001), we get a palindrome (87090222209078).

The spelling of 10000111109077 in words is "ten trillion, one hundred eleven million, one hundred nine thousand, seventy-seven".