112120101212201 has 2 divisors, whose sum is σ = 112120101212202. Its totient is φ = 112120101212200.

The previous prime is 112120101212153. The next prime is 112120101212233. The reversal of 112120101212201 is 102212101021211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101942240256025 + 10177860956176 = 10096645^2 + 3190276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112120101212201 is a prime.

It is a super-2 number, since 2×112120101212201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112120101212201.

It is not a weakly prime, because it can be changed into another prime (112120101212281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060050606100 + 56060050606101.

It is an arithmetic number, because the mean of its divisors is an integer number (56060050606101).

Almost surely, 2^{112120101212201} is an apocalyptic number.

It is an amenable number.

112120101212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112120101212201 is an equidigital number, since it uses as much as digits as its factorization.

112120101212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112120101212201 its reverse (102212101021211), we get a palindrome (214332202233412).

The spelling of 112120101212201 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred one million, two hundred twelve thousand, two hundred one".