223221022124100 has 576 divisors, whose sum is σ = 867223326154752. Its totient is φ = 42812446464000.

The previous prime is 223221022124099. The next prime is 223221022124137. The reversal of 223221022124100 is 1421220122322.

It is a super-3 number, since 3×223221022124100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7077154330 + ... + 7077185870.

It is an arithmetic number, because the mean of its divisors is an integer number (1505596052352).

Almost surely, 2^{223221022124100} is an apocalyptic number.

223221022124100 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 223221022124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433611663077376).

223221022124100 is an abundant number, since it is smaller than the sum of its proper divisors (644002304030652).

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

223221022124100 is a wasteful number, since it uses less digits than its factorization.

223221022124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55156 (or 55149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 223221022124100 its reverse (1421220122322), we get a palindrome (224642242246422).

The spelling of 223221022124100 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-four thousand, one hundred".