221121002112 has 128 divisors (see below), whose sum is σ = 606608524800. Its totient is φ = 71293009920.

The previous prime is 221121002077. The next prime is 221121002149. The reversal of 221121002112 is 211200121122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221121002091 and 221121002100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33054064 + ... + 33060752.

It is an arithmetic number, because the mean of its divisors is an integer number (4739129100).

Almost surely, 2^221121002112 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 221121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303304262400).

221121002112 is an abundant number, since it is smaller than the sum of its proper divisors (385487522688).

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

221121002112 is a wasteful number, since it uses less digits than its factorization.

221121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9502 counting only the distinct ones).

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

Adding to 221121002112 its reverse (211200121122), we get a palindrome (432321123234).

The spelling of 221121002112 in words is "two hundred twenty-one billion, one hundred twenty-one million, two thousand, one hundred twelve".