221210110100 has 144 divisors (see below), whose sum is σ = 558867980160. Its totient is φ = 74428569600.

The previous prime is 221210110097. The next prime is 221210110127. The reversal of 221210110100 is 1011012122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25477760 + ... + 25486440.

It is an arithmetic number, because the mean of its divisors is an integer number (3881027640).

Almost surely, 2^221210110100 is an apocalyptic number.

221210110100 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 221210110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279433990080).

221210110100 is an abundant number, since it is smaller than the sum of its proper divisors (337657870060).

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

221210110100 is a wasteful number, since it uses less digits than its factorization.

221210110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221210110100 its reverse (1011012122), we get a palindrome (222221122222).

The spelling of 221210110100 in words is "two hundred twenty-one billion, two hundred ten million, one hundred ten thousand, one hundred".