220011100200 has 144 divisors (see below), whose sum is σ = 739469737500. Its totient is φ = 58622054400.

The previous prime is 220011100189. The next prime is 220011100223. The reversal of 220011100200 is 2001110022.

It can be written as a sum of positive squares in 6 ways, for example, as 109094126436 + 110916973764 = 330294^2 + 333042^2 .

It is a super-2 number, since 2×220011100200² (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2199270 + ... + 2297130.

Almost surely, 2^220011100200 is an apocalyptic number.

220011100200 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 220011100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369734868750).

220011100200 is an abundant number, since it is smaller than the sum of its proper divisors (519458637300).

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

220011100200 is a wasteful number, since it uses less digits than its factorization.

220011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99132 (or 99120 counting only the distinct ones).

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

Adding to 220011100200 its reverse (2001110022), we get a palindrome (222012210222).

The spelling of 220011100200 in words is "two hundred twenty billion, eleven million, one hundred thousand, two hundred".