101112321017 has 2 divisors, whose sum is σ = 101112321018. Its totient is φ = 101112321016.

The previous prime is 101112320993. The next prime is 101112321059. The reversal of 101112321017 is 710123211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68864781241 + 32247539776 = 262421^2 + 179576^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112321017 - 2¹⁶ = 101112255481 is a prime.

It is a super-2 number, since 2×101112321017² (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 101112321017.

It is not a weakly prime, because it can be changed into another prime (101112321067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556160508 + 50556160509.

It is an arithmetic number, because the mean of its divisors is an integer number (50556160509).

Almost surely, 2^101112321017 is an apocalyptic number.

It is an amenable number.

101112321017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112321017 is an equidigital number, since it uses as much as digits as its factorization.

101112321017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 101112321017 its reverse (710123211101), we get a palindrome (811235532118).

The spelling of 101112321017 in words is "one hundred one billion, one hundred twelve million, three hundred twenty-one thousand, seventeen".