110101101121117 has 2 divisors, whose sum is σ = 110101101121118. Its totient is φ = 110101101121116.

The previous prime is 110101101121097. The next prime is 110101101121181. The reversal of 110101101121117 is 711121101101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107801310673081 + 2299790448036 = 10382741^2 + 1516506^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101101121117 - 2³¹ = 110098953637469 is a prime.

It is a super-2 number, since 2×110101101121117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110101101121094 and 110101101121103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101101127117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550560558 + 55050550560559.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550560559).

Almost surely, 2^{110101101121117} is an apocalyptic number.

It is an amenable number.

110101101121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101101121117 is an equidigital number, since it uses as much as digits as its factorization.

110101101121117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 19.

Adding to 110101101121117 its reverse (711121101101011), we get a palindrome (821222202222128).

The spelling of 110101101121117 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred seventeen".