112112000121221 has 2 divisors, whose sum is σ = 112112000121222. Its totient is φ = 112112000121220.

The previous prime is 112112000121133. The next prime is 112112000121223. The reversal of 112112000121221 is 122121000211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111586898440900 + 525101680321 = 10563470^2 + 724639^2 .

It is an emirp because it is prime and its reverse (122121000211211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112112000121221 - 2¹⁴ = 112112000104837 is a prime.

Together with 112112000121223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112112000121221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112112000121223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056000060610 + 56056000060611.

It is an arithmetic number, because the mean of its divisors is an integer number (56056000060611).

Almost surely, 2^{112112000121221} is an apocalyptic number.

It is an amenable number.

112112000121221 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112000121221 is an equidigital number, since it uses as much as digits as its factorization.

112112000121221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112112000121221 its reverse (122121000211211), we get a palindrome (234233000332432).

The spelling of 112112000121221 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-one thousand, two hundred twenty-one".