222102021122100 has 576 divisors, whose sum is σ = 831392392481280. Its totient is φ = 49818682368000.

The previous prime is 222102021122021. The next prime is 222102021122101. The reversal of 222102021122100 is 1221120201222.

It is a happy number.

222102021122100 is a `hidden beast` number, since 2 + 2 + 210 + 20 + 211 + 221 + 0 + 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 not an unprimeable number, because it can be changed into a prime (222102021122101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215190874 + ... + 216220526.

It is an arithmetic number, because the mean of its divisors is an integer number (1443389570280).

Almost surely, 2^{222102021122100} is an apocalyptic number.

222102021122100 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 222102021122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415696196240640).

222102021122100 is an abundant number, since it is smaller than the sum of its proper divisors (609290371359180).

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

222102021122100 is a wasteful number, since it uses less digits than its factorization.

222102021122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029897 (or 1029884 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222102021122100 its reverse (1221120201222), we get a palindrome (223323141323322).

The spelling of 222102021122100 in words is "two hundred twenty-two trillion, one hundred two billion, twenty-one million, one hundred twenty-two thousand, one hundred".