112111222012121 has 2 divisors, whose sum is σ = 112111222012122. Its totient is φ = 112111222012120.

The previous prime is 112111222012109. The next prime is 112111222012129. The reversal of 112111222012121 is 121210222111211.

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., 111887314182400 + 223907829721 = 10577680^2 + 473189^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111222012121 - 2³⁸ = 111836344105177 is a prime.

It is a super-2 number, since 2×112111222012121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112111222012093 and 112111222012102.

It is not a weakly prime, because it can be changed into another prime (112111222012129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055611006060 + 56055611006061.

It is an arithmetic number, because the mean of its divisors is an integer number (56055611006061).

Almost surely, 2^{112111222012121} is an apocalyptic number.

It is an amenable number.

112111222012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111222012121 is an equidigital number, since it uses as much as digits as its factorization.

112111222012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112111222012121 its reverse (121210222111211), we get a palindrome (233321444123332).

The spelling of 112111222012121 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, twelve thousand, one hundred twenty-one".