221100122112 has 224 divisors, whose sum is σ = 641160893952. Its totient is φ = 67485302784.

The previous prime is 221100122077. The next prime is 221100122167. The reversal of 221100122112 is 211221001122.

It is a super-2 number, since 2×221100122112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221100122091 and 221100122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15451153 + ... + 15465455.

Almost surely, 2^221100122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320580446976).

221100122112 is an abundant number, since it is smaller than the sum of its proper divisors (420060771840).

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

221100122112 is a wasteful number, since it uses less digits than its factorization.

221100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 14362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221100122112 its reverse (211221001122), we get a palindrome (432321123234).

The spelling of 221100122112 in words is "two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".