22121101216 has 96 divisors (see below), whose sum is σ = 47205607680. Its totient is φ = 10164289536.

The previous prime is 22121101187. The next prime is 22121101217. The reversal of 22121101216 is 61210112122.

It is a junction number, because it is equal to n+sod(n) for n = 22121101193 and 22121101202.

It is not an unprimeable number, because it can be changed into a prime (22121101217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15161095 + ... + 15162553.

It is an arithmetic number, because the mean of its divisors is an integer number (491725080).

Almost surely, 2^22121101216 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 22121101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23602803840).

22121101216 is an abundant number, since it is smaller than the sum of its proper divisors (25084506464).

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

22121101216 is a wasteful number, since it uses less digits than its factorization.

22121101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 22121101216 its reverse (61210112122), we get a palindrome (83331213338).

The spelling of 22121101216 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, two hundred sixteen".