223113200201100 has 432 divisors, whose sum is σ = 800057534290560. Its totient is φ = 53480311948800.

The previous prime is 223113200201083. The next prime is 223113200201117. The reversal of 223113200201100 is 1102002311322.

223113200201100 is a `hidden beast` number, since 2 + 2 + 311 + 320 + 0 + 20 + 1 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223113200201083) and next prime (223113200201117).

It is a super-3 number, since 3×223113200201100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19100419 + ... + 28478981.

It is an arithmetic number, because the mean of its divisors is an integer number (1851985033080).

Almost surely, 2^{223113200201100} is an apocalyptic number.

223113200201100 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 223113200201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400028767145280).

223113200201100 is an abundant number, since it is smaller than the sum of its proper divisors (576944334089460).

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

223113200201100 is a wasteful number, since it uses less digits than its factorization.

223113200201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378692 (or 9378673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223113200201100 its reverse (1102002311322), we get a palindrome (224215202512422).

The spelling of 223113200201100 in words is "two hundred twenty-three trillion, one hundred thirteen billion, two hundred million, two hundred one thousand, one hundred".