221313434100 has 288 divisors, whose sum is σ = 743802393600. Its totient is φ = 50211379200.

The previous prime is 221313434087. The next prime is 221313434113. The reversal of 221313434100 is 1434313122.

It is a happy number.

221313434100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221313434087) and next prime (221313434113).

It is a super-2 number, since 2×221313434100² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10030881 + ... + 10052919.

It is an arithmetic number, because the mean of its divisors is an integer number (2582647200).

Almost surely, 2^221313434100 is an apocalyptic number.

221313434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221313434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371901196800).

221313434100 is an abundant number, since it is smaller than the sum of its proper divisors (522488959500).

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

221313434100 is a wasteful number, since it uses less digits than its factorization.

221313434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221313434100 its reverse (1434313122), we get a palindrome (222747747222).

The spelling of 221313434100 in words is "two hundred twenty-one billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred".