112221111117001 has 2 divisors, whose sum is σ = 112221111117002. Its totient is φ = 112221111117000.

The previous prime is 112221111116951. The next prime is 112221111117077. The reversal of 112221111117001 is 100711111122211.

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., 61117199427001 + 51103911690000 = 7817749^2 + 7148700^2 .

It is an emirp because it is prime and its reverse (100711111122211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112221111117001 - 2²⁵ = 112221077562569 is a prime.

It is a super-2 number, since 2×112221111117001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112221111177001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56110555558500 + 56110555558501.

It is an arithmetic number, because the mean of its divisors is an integer number (56110555558501).

Almost surely, 2^{112221111117001} is an apocalyptic number.

It is an amenable number.

112221111117001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112221111117001 is an equidigital number, since it uses as much as digits as its factorization.

112221111117001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 22.

Adding to 112221111117001 its reverse (100711111122211), we get a palindrome (212932222239212).

The spelling of 112221111117001 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred eleven million, one hundred seventeen thousand, one".