22102000200 has 480 divisors, whose sum is σ = 89069745600. Its totient is φ = 4974773760.

The previous prime is 22102000189. The next prime is 22102000241. The reversal of 22102000200 is 200020122.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7596346 + ... + 7599254.

It is an arithmetic number, because the mean of its divisors is an integer number (185561970).

Almost surely, 2^22102000200 is an apocalyptic number.

22102000200 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 22102000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44534872800).

22102000200 is an abundant number, since it is smaller than the sum of its proper divisors (66967745400).

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

22102000200 is a wasteful number, since it uses less digits than its factorization.

22102000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22102000200 its reverse (200020122), we get a palindrome (22302020322).

The spelling of 22102000200 in words is "twenty-two billion, one hundred two million, two hundred", and thus it is an aban number.