112001211211081 has 2 divisors, whose sum is σ = 112001211211082. Its totient is φ = 112001211211080.

The previous prime is 112001211211063. The next prime is 112001211211217. The reversal of 112001211211081 is 180112112100211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105770096922681 + 6231114288400 = 10284459^2 + 2496220^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001211211081 - 2⁹ = 112001211210569 is a prime.

It is a super-3 number, since 3×112001211211081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (112001211211481) 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, 56000605605540 + 56000605605541.

It is an arithmetic number, because the mean of its divisors is an integer number (56000605605541).

Almost surely, 2^{112001211211081} is an apocalyptic number.

It is an amenable number.

112001211211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001211211081 is an equidigital number, since it uses as much as digits as its factorization.

112001211211081 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 22.

Adding to 112001211211081 its reverse (180112112100211), we get a palindrome (292113323311292).

The spelling of 112001211211081 in words is "one hundred twelve trillion, one billion, two hundred eleven million, two hundred eleven thousand, eighty-one".