101112120112217 has 2 divisors, whose sum is σ = 101112120112218. Its totient is φ = 101112120112216.

The previous prime is 101112120112177. The next prime is 101112120112249. The reversal of 101112120112217 is 712211021211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75312821463616 + 25799298648601 = 8678296^2 + 5079301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112120112217 - 2¹² = 101112120108121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112120112192 and 101112120112201.

It is not a weakly prime, because it can be changed into another prime (101112120012217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060056108 + 50556060056109.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060056109).

Almost surely, 2^{101112120112217} is an apocalyptic number.

It is an amenable number.

101112120112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112120112217 is an equidigital number, since it uses as much as digits as its factorization.

101112120112217 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 23.

Adding to 101112120112217 its reverse (712211021211101), we get a palindrome (813323141323318).

The spelling of 101112120112217 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred seventeen".