22101021312 has 128 divisors (see below), whose sum is σ = 63111398400. Its totient is φ = 6830668800.

The previous prime is 22101021281. The next prime is 22101021317. The reversal of 22101021312 is 21312010122.

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 = 22101021291 and 22101021300.

It is not an unprimeable number, because it can be changed into a prime (22101021317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310687 + ... + 375137.

It is an arithmetic number, because the mean of its divisors is an integer number (493057800).

Almost surely, 2^22101021312 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 22101021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31555699200).

22101021312 is an abundant number, since it is smaller than the sum of its proper divisors (41010377088).

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

22101021312 is a wasteful number, since it uses less digits than its factorization.

22101021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64534 (or 64522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22101021312 its reverse (21312010122), we get a palindrome (43413031434).

The spelling of 22101021312 in words is "twenty-two billion, one hundred one million, twenty-one thousand, three hundred twelve".