221022210100 has 144 divisors (see below), whose sum is σ = 510722867200. Its totient is φ = 82786561920.

The previous prime is 221022210047. The next prime is 221022210113. The reversal of 221022210100 is 1012220122.

It is a happy number.

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, 203331757 + ... + 203332843.

Almost surely, 2^221022210100 is an apocalyptic number.

221022210100 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 221022210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255361433600).

221022210100 is an abundant number, since it is smaller than the sum of its proper divisors (289700657100).

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

221022210100 is a wasteful number, since it uses less digits than its factorization.

221022210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221022210100 its reverse (1012220122), we get a palindrome (222034430222).

The spelling of 221022210100 in words is "two hundred twenty-one billion, twenty-two million, two hundred ten thousand, one hundred".