22721333556100 has 81 divisors (see below), whose sum is σ = 49915182087813. Its totient is φ = 8977469545440.

The previous prime is 22721333556049. The next prime is 22721333556133. The reversal of 22721333556100 is 165533312722.

It is a happy number.

The square root of 22721333556100 is 4766690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8179680080196 + 14541653475904 = 2860014^2 + 3813352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3956349829 + ... + 3956355571.

Almost surely, 2^{22721333556100} is an apocalyptic number.

22721333556100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22721333556100 is the 4766690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22721333556100

22721333556100 is an abundant number, since it is smaller than the sum of its proper divisors (27193848531713).

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

22721333556100 is an frugal number, since it uses more digits than its factorization.

22721333556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11666 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

Adding to 22721333556100 its reverse (165533312722), we get a palindrome (22886866868822).

The spelling of 22721333556100 in words is "twenty-two trillion, seven hundred twenty-one billion, three hundred thirty-three million, five hundred fifty-six thousand, one hundred".