221000201100 has 216 divisors, whose sum is σ = 801694799360. Its totient is φ = 49874797440.

The previous prime is 221000201083. The next prime is 221000201113. The reversal of 221000201100 is 1102000122.

221000201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275679 + ... + 719721.

Almost surely, 2^221000201100 is an apocalyptic number.

221000201100 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 221000201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400847399680).

221000201100 is an abundant number, since it is smaller than the sum of its proper divisors (580694598260).

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

221000201100 is a wasteful number, since it uses less digits than its factorization.

221000201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444149 (or 444139 counting only the distinct ones).

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

Adding to 221000201100 its reverse (1102000122), we get a palindrome (222102201222).

The spelling of 221000201100 in words is "two hundred twenty-one billion, two hundred one thousand, one hundred".