112131220121 has 2 divisors, whose sum is σ = 112131220122. Its totient is φ = 112131220120.

The previous prime is 112131220079. The next prime is 112131220133. The reversal of 112131220121 is 121022131211.

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., 95058139225 + 17073080896 = 308315^2 + 130664^2 .

It is a cyclic number.

It is not a de Polignac number, because 112131220121 - 2¹⁰ = 112131219097 is a prime.

It is a super-3 number, since 3×112131220121³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112131220121.

It is not a weakly prime, because it can be changed into another prime (112131220151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56065610060 + 56065610061.

It is an arithmetic number, because the mean of its divisors is an integer number (56065610061).

Almost surely, 2^112131220121 is an apocalyptic number.

It is an amenable number.

112131220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112131220121 is an equidigital number, since it uses as much as digits as its factorization.

112131220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 112131220121 its reverse (121022131211), we get a palindrome (233153351332).

The spelling of 112131220121 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty-one".