112112121000201 has 64 divisors (see below), whose sum is σ = 187716824494080. Its totient is φ = 58032070272000.

The previous prime is 112112121000197. The next prime is 112112121000329. The reversal of 112112121000201 is 102000121211211.

It is a happy number.

It is not a de Polignac number, because 112112121000201 - 2² = 112112121000197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112121004201) 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 63 ways as a sum of consecutive naturals, for example, 22645701 + ... + 27148701.

It is an arithmetic number, because the mean of its divisors is an integer number (2933075382720).

Almost surely, 2^{112112121000201} is an apocalyptic number.

It is an amenable number.

112112121000201 is a deficient number, since it is larger than the sum of its proper divisors (75604703493879).

112112121000201 is a wasteful number, since it uses less digits than its factorization.

112112121000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505766.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112121000201 its reverse (102000121211211), we get a palindrome (214112242211412).

The spelling of 112112121000201 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred one", and thus it is an aban number.