220882313652100 has 81 divisors (see below), whose sum is σ = 484789721105487. Its totient is φ = 87354964498560.

The previous prime is 220882313652089. The next prime is 220882313652107. The reversal of 220882313652100 is 1256313288022.

The square root of 220882313652100 is 14862110.

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

220882313652100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45965606682436 + 174916706969664 = 6779794^2 + 13225608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220882313652107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13227269551 + ... + 13227286249.

Almost surely, 2^{220882313652100} is an apocalyptic number.

220882313652100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220882313652100 is the 14862110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220882313652100

220882313652100 is an abundant number, since it is smaller than the sum of its proper divisors (263907407453387).

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

220882313652100 is an frugal number, since it uses more digits than its factorization.

220882313652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33590 (or 16795 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 220882313652100 in words is "two hundred twenty trillion, eight hundred eighty-two billion, three hundred thirteen million, six hundred fifty-two thousand, one hundred".