221433311322100 has 72 divisors (see below), whose sum is σ = 526319582687640. Its totient is φ = 80488538296320.

The previous prime is 221433311322011. The next prime is 221433311322131. The reversal of 221433311322100 is 1223113334122.

It can be written as a sum of positive squares in 12 ways, for example, as 28725719491044 + 192707591831056 = 5359638^2 + 13881916^2 .

It is a super-2 number, since 2×221433311322100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2245724649 + ... + 2245823248.

It is an arithmetic number, because the mean of its divisors is an integer number (7309994203995).

Almost surely, 2^{221433311322100} is an apocalyptic number.

221433311322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221433311322100 is an abundant number, since it is smaller than the sum of its proper divisors (304886271365540).

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

221433311322100 is a wasteful number, since it uses less digits than its factorization.

221433311322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491547957 (or 4491547950 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 221433311322100 its reverse (1223113334122), we get a palindrome (222656424656222).

The spelling of 221433311322100 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, three hundred eleven million, three hundred twenty-two thousand, one hundred".