27221700100 has 81 divisors (see below), whose sum is σ = 68744514783. Its totient is φ = 9329194560.

The previous prime is 27221700061. The next prime is 27221700161. The reversal of 27221700100 is 100712272.

The square root of 27221700100 is 164990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5957061124 + 21264638976 = 77182^2 + 145824^2 .

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, 11548122 + ... + 11550478.

Almost surely, 2^27221700100 is an apocalyptic number.

27221700100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27221700100 is the 164990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27221700100

27221700100 is an abundant number, since it is smaller than the sum of its proper divisors (41522814683).

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

27221700100 is an equidigital number, since it uses as much as digits as its factorization.

27221700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The spelling of 27221700100 in words is "twenty-seven billion, two hundred twenty-one million, seven hundred thousand, one hundred".