221100100200 has 384 divisors, whose sum is σ = 871315660800. Its totient is φ = 50481826560.

The previous prime is 221100100187. The next prime is 221100100213. The reversal of 221100100200 is 2001001122.

It is an interprime number because it is at equal distance from previous prime (221100100187) and next prime (221100100213).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41690749 + ... + 41696051.

It is an arithmetic number, because the mean of its divisors is an integer number (2269051200).

Almost surely, 2^221100100200 is an apocalyptic number.

221100100200 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 221100100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435657830400).

221100100200 is an abundant number, since it is smaller than the sum of its proper divisors (650215560600).

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

221100100200 is a wasteful number, since it uses less digits than its factorization.

221100100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6423 counting only the distinct ones).

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

Adding to 221100100200 its reverse (2001001122), we get a palindrome (223101101322).

The spelling of 221100100200 in words is "two hundred twenty-one billion, one hundred million, one hundred thousand, two hundred".