221379660100 has 27 divisors (see below), whose sum is σ = 480404072701. Its totient is φ = 88549982000.

The previous prime is 221379660037. The next prime is 221379660101. The reversal of 221379660100 is 1066973122.

The square root of 221379660100 is 470510.

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., 79696677636 + 141682982464 = 282306^2 + 376408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221379660100.

It is not an unprimeable number, because it can be changed into a prime (221379660101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4681575 + ... + 4728625.

Almost surely, 2^221379660100 is an apocalyptic number.

221379660100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221379660100 is the 470510-th square number.

It is an amenable number.

221379660100 is an abundant number, since it is smaller than the sum of its proper divisors (259024412601).

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

221379660100 is an frugal number, since it uses more digits than its factorization.

221379660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94116 (or 47058 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 221379660100 in words is "two hundred twenty-one billion, three hundred seventy-nine million, six hundred sixty thousand, one hundred".