112012112122201 has 2 divisors, whose sum is σ = 112012112122202. Its totient is φ = 112012112122200.

The previous prime is 112012112122189. The next prime is 112012112122277. The reversal of 112012112122201 is 102221211210211.

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., 91334356723801 + 20677755398400 = 9556901^2 + 4547280^2 .

It is a cyclic number.

It is not a de Polignac number, because 112012112122201 - 2³⁹ = 111462356308313 is a prime.

It is not a weakly prime, because it can be changed into another prime (112012112122301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006056061100 + 56006056061101.

It is an arithmetic number, because the mean of its divisors is an integer number (56006056061101).

Almost surely, 2^{112012112122201} is an apocalyptic number.

It is an amenable number.

112012112122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112012112122201 is an equidigital number, since it uses as much as digits as its factorization.

112012112122201 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 19.

Adding to 112012112122201 its reverse (102221211210211), we get a palindrome (214233323332412).

The spelling of 112012112122201 in words is "one hundred twelve trillion, twelve billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".