221012221100112 has 120 divisors (see below), whose sum is σ = 684109150061064. Its totient is φ = 66165820849152.

The previous prime is 221012221100039. The next prime is 221012221100191. The reversal of 221012221100112 is 211001122210122.

221012221100112 is a `hidden beast` number, since 221 + 0 + 1 + 222 + 110 + 0 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 668953866816 + 220343267233296 = 817896^2 + 14843964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1595364303 + ... + 1595502830.

Almost surely, 2^{221012221100112} is an apocalyptic number.

It is an amenable number.

221012221100112 is an abundant number, since it is smaller than the sum of its proper divisors (463096928960952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221012221100112 is a wasteful number, since it uses less digits than its factorization.

221012221100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190867197 (or 3190867188 counting only the distinct ones).

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

Adding to 221012221100112 its reverse (211001122210122), we get a palindrome (432013343310234).

The spelling of 221012221100112 in words is "two hundred twenty-one trillion, twelve billion, two hundred twenty-one million, one hundred thousand, one hundred twelve".