220201002000200 has 192 divisors, whose sum is σ = 559142122770000. Its totient is φ = 80161068810240.

The previous prime is 220201002000173. The next prime is 220201002000233. The reversal of 220201002000200 is 2000200102022.

It can be written as a sum of positive squares in 24 ways, for example, as 104491696405924 + 115709305594276 = 10222118^2 + 10756826^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 79395272 + ... + 82121928.

Almost surely, 2^{220201002000200} is an apocalyptic number.

220201002000200 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 220201002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279571061385000).

220201002000200 is an abundant number, since it is smaller than the sum of its proper divisors (338941120769800).

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

220201002000200 is a wasteful number, since it uses less digits than its factorization.

220201002000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727124 (or 2727115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220201002000200 its reverse (2000200102022), we get a palindrome (222201202102222).

The spelling of 220201002000200 in words is "two hundred twenty trillion, two hundred one billion, two million, two hundred", and thus it is an aban number.