112121111017 has 2 divisors, whose sum is σ = 112121111018. Its totient is φ = 112121111016.

The previous prime is 112121110921. The next prime is 112121111029. The reversal of 112121111017 is 710111121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97755650281 + 14365460736 = 312659^2 + 119856^2 .

It is an emirp because it is prime and its reverse (710111121211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112121111017 - 2¹¹ = 112121108969 is a prime.

It is a super-2 number, since 2×112121111017² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121110985 and 112121111003.

It is not a weakly prime, because it can be changed into another prime (112121111077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060555508 + 56060555509.

It is an arithmetic number, because the mean of its divisors is an integer number (56060555509).

Almost surely, 2^112121111017 is an apocalyptic number.

It is an amenable number.

112121111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121111017 is an equidigital number, since it uses as much as digits as its factorization.

112121111017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 112121111017 its reverse (710111121211), we get a palindrome (822232232228).

The spelling of 112121111017 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, seventeen".