221100200100 has 180 divisors, whose sum is σ = 771852137364. Its totient is φ = 54424638720.

The previous prime is 221100200081. The next prime is 221100200131. The reversal of 221100200100 is 1002001122.

It can be written as a sum of positive squares in 6 ways, for example, as 11343528036 + 209756672064 = 106506^2 + 457992^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 944559 + ... + 1155158.

Almost surely, 2^221100200100 is an apocalyptic number.

221100200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100200100 is an abundant number, since it is smaller than the sum of its proper divisors (550751937264).

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

221100200100 is a wasteful number, since it uses less digits than its factorization.

221100200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099756 (or 2099740 counting only the distinct ones).

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

Adding to 221100200100 its reverse (1002001122), we get a palindrome (222102201222).

The spelling of 221100200100 in words is "two hundred twenty-one billion, one hundred million, two hundred thousand, one hundred".