112102221112001 has 8 divisors (see below), whose sum is σ = 112238152109160. Its totient is φ = 111966372427392.

The previous prime is 112102221111977. The next prime is 112102221112031. The reversal of 112102221112001 is 100211122201211.

It can be written as a sum of positive squares in 4 ways, for example, as 30343010385601 + 81759210726400 = 5508449^2 + 9042080^2 .

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 112102221112001 - 2²² = 112102216917697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112102221112031) 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, 17852450 + ... + 23300523.

It is an arithmetic number, because the mean of its divisors is an integer number (14029769013645).

Almost surely, 2^{112102221112001} is an apocalyptic number.

It is an amenable number.

112102221112001 is a deficient number, since it is larger than the sum of its proper divisors (135930997159).

112102221112001 is a wasteful number, since it uses less digits than its factorization.

112102221112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41156275.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112102221112001 its reverse (100211122201211), we get a palindrome (212313343313212).

The spelling of 112102221112001 in words is "one hundred twelve trillion, one hundred two billion, two hundred twenty-one million, one hundred twelve thousand, one".