112112112121 has 2 divisors, whose sum is σ = 112112112122. Its totient is φ = 112112112120.

The previous prime is 112112111983. The next prime is 112112112181. The reversal of 112112112121 is 121211211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78195733225 + 33916378896 = 279635^2 + 184164^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112112121 - 2²³ = 112103723513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112112095 and 112112112104.

It is not a weakly prime, because it can be changed into another prime (112112112181) 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, 56056056060 + 56056056061.

It is an arithmetic number, because the mean of its divisors is an integer number (56056056061).

Almost surely, 2^112112112121 is an apocalyptic number.

It is an amenable number.

112112112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112112121 is an equidigital number, since it uses as much as digits as its factorization.

112112112121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16, while the sum is 16.

Adding to 112112112121 its reverse (121211211211), we get a palindrome (233323323332).

The spelling of 112112112121 in words is "one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".