112112212121201 has 8 divisors (see below), whose sum is σ = 113952292747944. Its totient is φ = 110272201672320.

The previous prime is 112112212121197. The next prime is 112112212121219. The reversal of 112112212121201 is 102121212211211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62034510687601 + 50077701433600 = 7876199^2 + 7076560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112112212121201 - 2² = 112112212121197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112112212121101) 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 in 7 ways as a sum of consecutive naturals, for example, 14318330 + ... + 20718083.

It is an arithmetic number, because the mean of its divisors is an integer number (14244036593493).

Almost surely, 2^{112112212121201} is an apocalyptic number.

It is an amenable number.

112112212121201 is a deficient number, since it is larger than the sum of its proper divisors (1840080626743).

112112212121201 is an equidigital number, since it uses as much as digits as its factorization.

112112212121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35088931.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112112212121201 its reverse (102121212211211), we get a palindrome (214233424332412).

The spelling of 112112212121201 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, two hundred one".