112021100112001 has 8 divisors (see below), whose sum is σ = 113177135471400. Its totient is φ = 110867397822720.

The previous prime is 112021100111993. The next prime is 112021100112049. The reversal of 112021100112001 is 100211001120211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33614484840000 + 78406615272001 = 5797800^2 + 8854751^2 .

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 112021100112001 - 2³ = 112021100111993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112021100118001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583171006 + ... + 583363063.

It is an arithmetic number, because the mean of its divisors is an integer number (14147141933925).

Almost surely, 2^{112021100112001} is an apocalyptic number.

It is an amenable number.

112021100112001 is a deficient number, since it is larger than the sum of its proper divisors (1156035359399).

112021100112001 is a wasteful number, since it uses less digits than its factorization.

112021100112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166535059.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112021100112001 its reverse (100211001120211), we get a palindrome (212232101232212).

The spelling of 112021100112001 in words is "one hundred twelve trillion, twenty-one billion, one hundred million, one hundred twelve thousand, one".