101122341202117 has 2 divisors, whose sum is σ = 101122341202118. Its totient is φ = 101122341202116.

The previous prime is 101122341202097. The next prime is 101122341202241. The reversal of 101122341202117 is 711202143221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56483025839361 + 44639315362756 = 7515519^2 + 6681266^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122341202117 - 2¹⁵ = 101122341169349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122341202417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561170601058 + 50561170601059.

It is an arithmetic number, because the mean of its divisors is an integer number (50561170601059).

Almost surely, 2^{101122341202117} is an apocalyptic number.

It is an amenable number.

101122341202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122341202117 is an equidigital number, since it uses as much as digits as its factorization.

101122341202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 101122341202117 its reverse (711202143221101), we get a palindrome (812324484423218).

The spelling of 101122341202117 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred forty-one million, two hundred two thousand, one hundred seventeen".