221200100010 has 96 divisors (see below), whose sum is σ = 584049578112. Its totient is φ = 58071911040.

The previous prime is 221200100003. The next prime is 221200100041. The reversal of 221200100010 is 10001002122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 221200099965 and 221200100001.

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, 11127480 + ... + 11147340.

It is an arithmetic number, because the mean of its divisors is an integer number (6083849772).

Almost surely, 2^221200100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221200100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292024789056).

221200100010 is an abundant number, since it is smaller than the sum of its proper divisors (362849478102).

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

221200100010 is a wasteful number, since it uses less digits than its factorization.

221200100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221200100010 its reverse (10001002122), we get a palindrome (231201102132).

The spelling of 221200100010 in words is "two hundred twenty-one billion, two hundred million, one hundred thousand, ten".