22271468780100 has 144 divisors (see below), whose sum is σ = 64608764149440. Its totient is φ = 5923397529600.

The previous prime is 22271468780083. The next prime is 22271468780129. The reversal of 22271468780100 is 108786417222.

It is a self number, because there is not a number n which added to its sum of digits gives 22271468780100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779498815 + ... + 779527385.

It is an arithmetic number, because the mean of its divisors is an integer number (448671973260).

Almost surely, 2^{22271468780100} is an apocalyptic number.

22271468780100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22271468780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32304382074720).

22271468780100 is an abundant number, since it is smaller than the sum of its proper divisors (42337295369340).

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

22271468780100 is a wasteful number, since it uses less digits than its factorization.

22271468780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35350 (or 35343 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 22271468780100 in words is "twenty-two trillion, two hundred seventy-one billion, four hundred sixty-eight million, seven hundred eighty thousand, one hundred".