101011110011117 has 2 divisors, whose sum is σ = 101011110011118. Its totient is φ = 101011110011116.

The previous prime is 101011110011099. The next prime is 101011110011159. The reversal of 101011110011117 is 711110011110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71913435872041 + 29097674139076 = 8480179^2 + 5394226^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011110011117 - 2¹⁸ = 101011109748973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011110011095 and 101011110011104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011110011177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555005558 + 50505555005559.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555005559).

Almost surely, 2^{101011110011117} is an apocalyptic number.

It is an amenable number.

101011110011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011110011117 is an equidigital number, since it uses as much as digits as its factorization.

101011110011117 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 17.

Adding to 101011110011117 its reverse (711110011110101), we get a palindrome (812121121121218).

The spelling of 101011110011117 in words is "one hundred one trillion, eleven billion, one hundred ten million, eleven thousand, one hundred seventeen".