221321856072100 has 405 divisors, whose sum is σ = 567929909551977. Its totient is φ = 74859558359040.

The previous prime is 221321856072071. The next prime is 221321856072137. The reversal of 221321856072100 is 1270658123122.

The square root of 221321856072100 is 14876890.

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

It can be written as a sum of positive squares in 13 ways, for example, as 218508292664676 + 2813563407424 = 14782026^2 + 1677368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 707098581544 + ... + 707098581856.

Almost surely, 2^{221321856072100} is an apocalyptic number.

221321856072100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221321856072100 is the 14876890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221321856072100

221321856072100 is an abundant number, since it is smaller than the sum of its proper divisors (346608053479877).

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

221321856072100 is an frugal number, since it uses more digits than its factorization.

221321856072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 221321856072100 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, eight hundred fifty-six million, seventy-two thousand, one hundred".