222312122100 has 252 divisors, whose sum is σ = 728847725760. Its totient is φ = 58828161600.

The previous prime is 222312122063. The next prime is 222312122111. The reversal of 222312122100 is 1221213222.

222312122100 is a `hidden beast` number, since 222 + 312 + 122 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9538261 + ... + 9561539.

It is an arithmetic number, because the mean of its divisors is an integer number (2892252880).

Almost surely, 2^222312122100 is an apocalyptic number.

222312122100 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 222312122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364423862880).

222312122100 is an abundant number, since it is smaller than the sum of its proper divisors (506535603660).

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

222312122100 is a wasteful number, since it uses less digits than its factorization.

222312122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23442 (or 23420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222312122100 its reverse (1221213222), we get a palindrome (223533335322).

The spelling of 222312122100 in words is "two hundred twenty-two billion, three hundred twelve million, one hundred twenty-two thousand, one hundred".