11011001102117 has 2 divisors, whose sum is σ = 11011001102118. Its totient is φ = 11011001102116.

The previous prime is 11011001102093. The next prime is 11011001102141. The reversal of 11011001102117 is 71120110011011.

11011001102117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11011001102093) and next prime (11011001102141).

It can be written as a sum of positive squares in only one way, i.e., 8007847274596 + 3003153827521 = 2829814^2 + 1732961^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011001102117 - 2⁴² = 6612954591013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011001102095 and 11011001102104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011001102177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505500551058 + 5505500551059.

It is an arithmetic number, because the mean of its divisors is an integer number (5505500551059).

Almost surely, 2^{11011001102117} is an apocalyptic number.

It is an amenable number.

11011001102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011001102117 is an equidigital number, since it uses as much as digits as its factorization.

11011001102117 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 17.

Adding to 11011001102117 its reverse (71120110011011), we get a palindrome (82131111113128).

The spelling of 11011001102117 in words is "eleven trillion, eleven billion, one million, one hundred two thousand, one hundred seventeen".