220002001100200 has 144 divisors (see below), whose sum is σ = 563005791260640. Its totient is φ = 79890679017600.

The previous prime is 220002001100191. The next prime is 220002001100207. The reversal of 220002001100200 is 2001100200022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (220002001100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11340999 + ... + 23845801.

It is an arithmetic number, because the mean of its divisors is an integer number (3909762439310).

Almost surely, 2^{220002001100200} is an apocalyptic number.

220002001100200 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 220002001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281502895630320).

220002001100200 is an abundant number, since it is smaller than the sum of its proper divisors (343003790160440).

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

220002001100200 is a wasteful number, since it uses less digits than its factorization.

220002001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505568 (or 12505548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220002001100200 its reverse (2001100200022), we get a palindrome (222003101300222).

The spelling of 220002001100200 in words is "two hundred twenty trillion, two billion, one million, one hundred thousand, two hundred".