100011006007117 has 2 divisors, whose sum is σ = 100011006007118. Its totient is φ = 100011006007116.

The previous prime is 100011006007093. The next prime is 100011006007219. The reversal of 100011006007117 is 711700600110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85647732215236 + 14363273791881 = 9254606^2 + 3789891^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011006007117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011006007091 and 100011006007100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011006007417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005503003558 + 50005503003559.

It is an arithmetic number, because the mean of its divisors is an integer number (50005503003559).

Almost surely, 2^{100011006007117} is an apocalyptic number.

It is an amenable number.

100011006007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011006007117 is an equidigital number, since it uses as much as digits as its factorization.

100011006007117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 25.

Adding to 100011006007117 its reverse (711700600110001), we get a palindrome (811711606117118).

The spelling of 100011006007117 in words is "one hundred trillion, eleven billion, six million, seven thousand, one hundred seventeen".