11000010101117 has 2 divisors, whose sum is σ = 11000010101118. Its totient is φ = 11000010101116.

The previous prime is 11000010101051. The next prime is 11000010101149. The reversal of 11000010101117 is 71110101000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8246023384921 + 2753986716196 = 2871589^2 + 1659514^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000010101117 - 2³⁶ = 10931290624381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000010101617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500005050558 + 5500005050559.

It is an arithmetic number, because the mean of its divisors is an integer number (5500005050559).

Almost surely, 2^{11000010101117} is an apocalyptic number.

It is an amenable number.

11000010101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000010101117 is an equidigital number, since it uses as much as digits as its factorization.

11000010101117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 11000010101117 its reverse (71110101000011), we get a palindrome (82110111101128).

The spelling of 11000010101117 in words is "eleven trillion, ten million, one hundred one thousand, one hundred seventeen".