112112122122101 has 2 divisors, whose sum is σ = 112112122122102. Its totient is φ = 112112122122100.

The previous prime is 112112122122097. The next prime is 112112122122127. The reversal of 112112122122101 is 101221221211211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73024305521476 + 39087816600625 = 8545426^2 + 6252025^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112122122101 - 2² = 112112122122097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112112122122401) 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, 56056061061050 + 56056061061051.

It is an arithmetic number, because the mean of its divisors is an integer number (56056061061051).

Almost surely, 2^{112112122122101} is an apocalyptic number.

It is an amenable number.

112112122122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112122122101 is an equidigital number, since it uses as much as digits as its factorization.

112112122122101 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 20.

Adding to 112112122122101 its reverse (101221221211211), we get a palindrome (213333343333312).

The spelling of 112112122122101 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".