221340010100 has 144 divisors (see below), whose sum is σ = 548142166656. Its totient is φ = 76792320000.

The previous prime is 221340010093. The next prime is 221340010141. The reversal of 221340010100 is 1010043122.

221340010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10134392 + ... + 10156208.

It is an arithmetic number, because the mean of its divisors is an integer number (3806542824).

Almost surely, 2^221340010100 is an apocalyptic number.

221340010100 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 221340010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274071083328).

221340010100 is an abundant number, since it is smaller than the sum of its proper divisors (326802156556).

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

221340010100 is a wasteful number, since it uses less digits than its factorization.

221340010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22266 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221340010100 its reverse (1010043122), we get a palindrome (222350053222).

The spelling of 221340010100 in words is "two hundred twenty-one billion, three hundred forty million, ten thousand, one hundred".