101122212017 has 2 divisors, whose sum is σ = 101122212018. Its totient is φ = 101122212016.

The previous prime is 101122212011. The next prime is 101122212031. The reversal of 101122212017 is 710212221101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97159383616 + 3962828401 = 311704^2 + 62951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122212017 is a prime.

It is a super-2 number, since 2×101122212017² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101122212017.

It is not a weakly prime, because it can be changed into another prime (101122212011) 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, 50561106008 + 50561106009.

It is an arithmetic number, because the mean of its divisors is an integer number (50561106009).

Almost surely, 2^101122212017 is an apocalyptic number.

It is an amenable number.

101122212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122212017 is an equidigital number, since it uses as much as digits as its factorization.

101122212017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 101122212017 its reverse (710212221101), we get a palindrome (811334433118).

The spelling of 101122212017 in words is "one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, seventeen".