223223120100 has 108 divisors (see below), whose sum is σ = 718590858804. Its totient is φ = 57917341440.

The previous prime is 223223120083. The next prime is 223223120119. The reversal of 223223120100 is 1021322322.

223223120100 is a `hidden beast` number, since 2 + 232 + 231 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2449062144 + 220774057956 = 49488^2 + 469866^2 .

It is a super-3 number, since 3×223223120100³ (a number of 35 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3318399 + ... + 3384998.

It is an arithmetic number, because the mean of its divisors is an integer number (6653619063).

Almost surely, 2^223223120100 is an apocalyptic number.

223223120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223223120100 is an abundant number, since it is smaller than the sum of its proper divisors (495367738704).

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

223223120100 is a wasteful number, since it uses less digits than its factorization.

223223120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703454 (or 6703444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223223120100 its reverse (1021322322), we get a palindrome (224244442422).

The spelling of 223223120100 in words is "two hundred twenty-three billion, two hundred twenty-three million, one hundred twenty thousand, one hundred".