11000001020117 has 2 divisors, whose sum is σ = 11000001020118. Its totient is φ = 11000001020116.

The previous prime is 11000001020077. The next prime is 11000001020171. The reversal of 11000001020117 is 71102010000011.

Together with next prime (11000001020171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10620044663281 + 379956356836 = 3258841^2 + 616406^2 .

It is an emirp because it is prime and its reverse (71102010000011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11000001020117 - 2³⁴ = 10982821150933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000001020917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500000510058 + 5500000510059.

It is an arithmetic number, because the mean of its divisors is an integer number (5500000510059).

Almost surely, 2^{11000001020117} is an apocalyptic number.

It is an amenable number.

11000001020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000001020117 is an equidigital number, since it uses as much as digits as its factorization.

11000001020117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 11000001020117 its reverse (71102010000011), we get a palindrome (82102011020128).

The spelling of 11000001020117 in words is "eleven trillion, one million, twenty thousand, one hundred seventeen".