221100220012 has 108 divisors (see below), whose sum is σ = 471189020736. Its totient is φ = 90508017600.

The previous prime is 221100220007. The next prime is 221100220057. The reversal of 221100220012 is 210022001122.

It is a happy number.

221100220012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221100219974 and 221100220001.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113325637 + ... + 113327587.

Almost surely, 2^221100220012 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 221100220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235594510368).

221100220012 is an abundant number, since it is smaller than the sum of its proper divisors (250088800724).

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

221100220012 is a wasteful number, since it uses less digits than its factorization.

221100220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221100220012 its reverse (210022001122), we get a palindrome (431122221134).

The spelling of 221100220012 in words is "two hundred twenty-one billion, one hundred million, two hundred twenty thousand, twelve".