112112122141 has 2 divisors, whose sum is σ = 112112122142. Its totient is φ = 112112122140.

The previous prime is 112112122117. The next prime is 112112122159. The reversal of 112112122141 is 141221211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101280516516 + 10831605625 = 318246^2 + 104075^2 .

It is an emirp because it is prime and its reverse (141221211211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112112122141 - 2⁹ = 112112121629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112112122541) 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, 56056061070 + 56056061071.

It is an arithmetic number, because the mean of its divisors is an integer number (56056061071).

Almost surely, 2^112112122141 is an apocalyptic number.

It is an amenable number.

112112122141 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112122141 is an equidigital number, since it uses as much as digits as its factorization.

112112122141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64, while the sum is 19.

Adding to 112112122141 its reverse (141221211211), we get a palindrome (253333333352).

The spelling of 112112122141 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred forty-one".