22100973720 has 384 divisors, whose sum is σ = 78930754560. Its totient is φ = 4935060480.

The previous prime is 22100973707. The next prime is 22100973721. The reversal of 22100973720 is 2737900122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100973721) 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 95 ways as a sum of consecutive naturals, for example, 69719002 + ... + 69719318.

It is an arithmetic number, because the mean of its divisors is an integer number (205548840).

Almost surely, 2^22100973720 is an apocalyptic number.

22100973720 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 22100973720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39465377280).

22100973720 is an abundant number, since it is smaller than the sum of its proper divisors (56829780840).

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

22100973720 is a wasteful number, since it uses less digits than its factorization.

22100973720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 22100973720 in words is "twenty-two billion, one hundred million, nine hundred seventy-three thousand, seven hundred twenty".