112001112002221 has 8 divisors (see below), whose sum is σ = 127711675224504. Its totient is φ = 97304133504000.

The previous prime is 112001112002191. The next prime is 112001112002251. The reversal of 112001112002221 is 122200211100211.

It is an interprime number because it is at equal distance from previous prime (112001112002191) and next prime (112001112002251).

It can be written as a sum of positive squares in 4 ways, for example, as 43676422486596 + 68324689515625 = 6608814^2 + 8265875^2 .

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 112001112002221 - 2⁵ = 112001112002189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112001112002195 and 112001112002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001112002251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253396180780 + ... + 253396181221.

It is an arithmetic number, because the mean of its divisors is an integer number (15963959403063).

Almost surely, 2^{112001112002221} is an apocalyptic number.

It is an amenable number.

112001112002221 is a deficient number, since it is larger than the sum of its proper divisors (15710563222283).

112001112002221 is a wasteful number, since it uses less digits than its factorization.

112001112002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506792362031.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112001112002221 its reverse (122200211100211), we get a palindrome (234201323102432).

The spelling of 112001112002221 in words is "one hundred twelve trillion, one billion, one hundred twelve million, two thousand, two hundred twenty-one".