22101323143872 has 448 divisors, whose sum is σ = 72816056755200. Its totient is φ = 5772636979200.

The previous prime is 22101323143871. The next prime is 22101323143883. The reversal of 22101323143872 is 27834132310122.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22101323143872² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22101323143872.

It is not an unprimeable number, because it can be changed into a prime (22101323143871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416652872 + ... + 1416668472.

Almost surely, 2^{22101323143872} 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 22101323143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408028377600).

22101323143872 is an abundant number, since it is smaller than the sum of its proper divisors (50714733611328).

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

22101323143872 is a wasteful number, since it uses less digits than its factorization.

22101323143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17584 (or 17574 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 22101323143872 its reverse (27834132310122), we get a palindrome (49935455453994).

The spelling of 22101323143872 in words is "twenty-two trillion, one hundred one billion, three hundred twenty-three million, one hundred forty-three thousand, eight hundred seventy-two".