11107127114729 has 2 divisors, whose sum is σ = 11107127114730. Its totient is φ = 11107127114728.

The previous prime is 11107127114563. The next prime is 11107127114747. The reversal of 11107127114729 is 92741172170111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8052671824729 + 3054455290000 = 2837723^2 + 1747700^2 .

It is an emirp because it is prime and its reverse (92741172170111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11107127114729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11107127114729.

It is not a weakly prime, because it can be changed into another prime (11107127114779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5553563557364 + 5553563557365.

It is an arithmetic number, because the mean of its divisors is an integer number (5553563557365).

Almost surely, 2^{11107127114729} is an apocalyptic number.

It is an amenable number.

11107127114729 is a deficient number, since it is larger than the sum of its proper divisors (1).

11107127114729 is an equidigital number, since it uses as much as digits as its factorization.

11107127114729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 44.

The spelling of 11107127114729 in words is "eleven trillion, one hundred seven billion, one hundred twenty-seven million, one hundred fourteen thousand, seven hundred twenty-nine".