112212101012161 has 2 divisors, whose sum is σ = 112212101012162. Its totient is φ = 112212101012160.

The previous prime is 112212101012087. The next prime is 112212101012189. The reversal of 112212101012161 is 161210101212211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112212072720400 + 28291761 = 10593020^2 + 5319^2 .

It is an emirp because it is prime and its reverse (161210101212211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112212101012161 - 2⁹ = 112212101011649 is a prime.

It is a super-2 number, since 2×112212101012161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112212101012261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56106050506080 + 56106050506081.

It is an arithmetic number, because the mean of its divisors is an integer number (56106050506081).

Almost surely, 2^{112212101012161} is an apocalyptic number.

It is an amenable number.

112212101012161 is a deficient number, since it is larger than the sum of its proper divisors (1).

112212101012161 is an equidigital number, since it uses as much as digits as its factorization.

112212101012161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 112212101012161 its reverse (161210101212211), we get a palindrome (273422202224372).

The spelling of 112212101012161 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred one million, twelve thousand, one hundred sixty-one".