112100122212121 has 2 divisors, whose sum is σ = 112100122212122. Its totient is φ = 112100122212120.

The previous prime is 112100122212101. The next prime is 112100122212137. The reversal of 112100122212121 is 121212221001211.

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., 109709808320025 + 2390313892096 = 10474245^2 + 1546064^2 .

It is an emirp because it is prime and its reverse (121212221001211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112100122212121 - 2⁷ = 112100122211993 is a prime.

It is not a weakly prime, because it can be changed into another prime (112100122212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050061106060 + 56050061106061.

It is an arithmetic number, because the mean of its divisors is an integer number (56050061106061).

Almost surely, 2^{112100122212121} is an apocalyptic number.

It is an amenable number.

112100122212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100122212121 is an equidigital number, since it uses as much as digits as its factorization.

112100122212121 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 112100122212121 its reverse (121212221001211), we get a palindrome (233312343213332).

The spelling of 112100122212121 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".