201101011120117 has 2 divisors, whose sum is σ = 201101011120118. Its totient is φ = 201101011120116.

The previous prime is 201101011120091. The next prime is 201101011120129. The reversal of 201101011120117 is 711021110101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190819247022756 + 10281764097361 = 13813734^2 + 3206519^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101011120117 - 2³¹ = 201098863636469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201101011120094 and 201101011120103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201101011820117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550505560058 + 100550505560059.

It is an arithmetic number, because the mean of its divisors is an integer number (100550505560059).

Almost surely, 2^{201101011120117} is an apocalyptic number.

It is an amenable number.

201101011120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101011120117 is an equidigital number, since it uses as much as digits as its factorization.

201101011120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 201101011120117 its reverse (711021110101102), we get a palindrome (912122121221219).

The spelling of 201101011120117 in words is "two hundred one trillion, one hundred one billion, eleven million, one hundred twenty thousand, one hundred seventeen".