112122012100221 has 16 divisors (see below), whose sum is σ = 166106874304320. Its totient is φ = 74747922696720.

The previous prime is 112122012100213. The next prime is 112122012100243. The reversal of 112122012100221 is 122001210221211.

112122012100221 is a `hidden beast` number, since 1 + 1 + 212 + 20 + 1 + 210 + 0 + 221 = 666.

It is not a de Polignac number, because 112122012100221 - 2³ = 112122012100213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112122012100194 and 112122012100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122012100621) 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 15 ways as a sum of consecutive naturals, for example, 29490466 + ... + 33074636.

It is an arithmetic number, because the mean of its divisors is an integer number (10381679644020).

Almost surely, 2^{112122012100221} is an apocalyptic number.

It is an amenable number.

112122012100221 is a deficient number, since it is larger than the sum of its proper divisors (53984862204099).

112122012100221 is a wasteful number, since it uses less digits than its factorization.

112122012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742793 (or 4742787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112122012100221 its reverse (122001210221211), we get a palindrome (234123222321432).

The spelling of 112122012100221 in words is "one hundred twelve trillion, one hundred twenty-two billion, twelve million, one hundred thousand, two hundred twenty-one".