2221002112 has 128 divisors (see below), whose sum is σ = 5353286400. Its totient is φ = 896624640.

The previous prime is 2221002101. The next prime is 2221002127. The reversal of 2221002112 is 2112001222.

It is a happy number.

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 = 2221002092 and 2221002101.

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 15 ways as a sum of consecutive naturals, for example, 4817562 + ... + 4818022.

It is an arithmetic number, because the mean of its divisors is an integer number (41822550).

Almost surely, 2^2221002112 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 2221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676643200).

2221002112 is an abundant number, since it is smaller than the sum of its proper divisors (3132284288).

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

2221002112 is a wasteful number, since it uses less digits than its factorization.

2221002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

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

The square root of 2221002112 is about 47127.5090790931. The cubic root of 2221002112 is about 1304.7170081653.

Adding to 2221002112 its reverse (2112001222), we get a palindrome (4333003334).

The spelling of 2221002112 in words is "two billion, two hundred twenty-one million, two thousand, one hundred twelve".