101332332122117 has 2 divisors, whose sum is σ = 101332332122118. Its totient is φ = 101332332122116.

The previous prime is 101332332122111. The next prime is 101332332122237. The reversal of 101332332122117 is 711221233233101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93656057891236 + 7676274230881 = 9677606^2 + 2770609^2 .

It is an emirp because it is prime and its reverse (711221233233101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101332332122117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101332332122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666166061058 + 50666166061059.

It is an arithmetic number, because the mean of its divisors is an integer number (50666166061059).

Almost surely, 2^{101332332122117} is an apocalyptic number.

It is an amenable number.

101332332122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332332122117 is an equidigital number, since it uses as much as digits as its factorization.

101332332122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 101332332122117 its reverse (711221233233101), we get a palindrome (812553565355218).

The spelling of 101332332122117 in words is "one hundred one trillion, three hundred thirty-two billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred seventeen".