11102015216993 has 2 divisors, whose sum is σ = 11102015216994. Its totient is φ = 11102015216992.

The previous prime is 11102015216969. The next prime is 11102015217017. The reversal of 11102015216993 is 39961251020111.

It is a balanced prime because it is at equal distance from previous prime (11102015216969) and next prime (11102015217017).

It can be written as a sum of positive squares in only one way, i.e., 7771288016209 + 3330727200784 = 2787703^2 + 1825028^2 .

It is an emirp because it is prime and its reverse (39961251020111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11102015216993 - 2¹⁰ = 11102015215969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11102015216993.

It is not a weakly prime, because it can be changed into another prime (11102015216293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551007608496 + 5551007608497.

It is an arithmetic number, because the mean of its divisors is an integer number (5551007608497).

Almost surely, 2^{11102015216993} is an apocalyptic number.

It is an amenable number.

11102015216993 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102015216993 is an equidigital number, since it uses as much as digits as its factorization.

11102015216993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 41.

The spelling of 11102015216993 in words is "eleven trillion, one hundred two billion, fifteen million, two hundred sixteen thousand, nine hundred ninety-three".