112001122100001 has 8 divisors (see below), whose sum is σ = 149334878552800. Its totient is φ = 74667390190272.

The previous prime is 112001122099987. The next prime is 112001122100029. The reversal of 112001122100001 is 100001221100211.

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

It is not a de Polignac number, because 112001122100001 - 2¹⁰ = 112001122098977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112001122100001.

It is not an unprimeable number, because it can be changed into a prime (112001122100201) 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, 13378425 + ... + 20074473.

It is an arithmetic number, because the mean of its divisors is an integer number (18666859819100).

Almost surely, 2^{112001122100001} is an apocalyptic number.

It is an amenable number.

112001122100001 is a deficient number, since it is larger than the sum of its proper divisors (37333756452799).

112001122100001 is an equidigital number, since it uses as much as digits as its factorization.

112001122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271535.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112001122100001 its reverse (100001221100211), we get a palindrome (212002343200212).

The spelling of 112001122100001 in words is "one hundred twelve trillion, one billion, one hundred twenty-two million, one hundred thousand, one".