221211002112 has 72 divisors (see below), whose sum is σ = 589063025376. Its totient is φ = 73697028096.

The previous prime is 221211002071. The next prime is 221211002141. The reversal of 221211002112 is 211200112122.

It is a junction number, because it is equal to n+sod(n) for n = 221211002091 and 221211002100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356718 + ... + 1510994.

It is an arithmetic number, because the mean of its divisors is an integer number (8181430908).

Almost surely, 2^221211002112 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 221211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294531512688).

221211002112 is an abundant number, since it is smaller than the sum of its proper divisors (367852023264).

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

221211002112 is a wasteful number, since it uses less digits than its factorization.

221211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156163 (or 156149 counting only the distinct ones).

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

Adding to 221211002112 its reverse (211200112122), we get a palindrome (432411114234).

The spelling of 221211002112 in words is "two hundred twenty-one billion, two hundred eleven million, two thousand, one hundred twelve".