112222001121121 has 2 divisors, whose sum is σ = 112222001121122. Its totient is φ = 112222001121120.

The previous prime is 112222001121077. The next prime is 112222001121137. The reversal of 112222001121121 is 121121100222211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102868582032225 + 9353419088896 = 10142415^2 + 3058336^2 .

It is a cyclic number.

It is not a de Polignac number, because 112222001121121 - 2⁷ = 112222001120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (112222001121151) 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, 56111000560560 + 56111000560561.

It is an arithmetic number, because the mean of its divisors is an integer number (56111000560561).

Almost surely, 2^{112222001121121} is an apocalyptic number.

It is an amenable number.

112222001121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112222001121121 is an equidigital number, since it uses as much as digits as its factorization.

112222001121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112222001121121 its reverse (121121100222211), we get a palindrome (233343101343332).

The spelling of 112222001121121 in words is "one hundred twelve trillion, two hundred twenty-two billion, one million, one hundred twenty-one thousand, one hundred twenty-one".