222133116100 has 81 divisors (see below), whose sum is σ = 560810744487. Its totient is φ = 76148614080.

The previous prime is 222133116097. The next prime is 222133116109. The reversal of 222133116100 is 1611331222.

It is a happy number.

The square root of 222133116100 is 471310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64759052484 + 157374063616 = 254478^2 + 396704^2 .

It is not an unprimeable number, because it can be changed into a prime (222133116109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32988334 + ... + 32995066.

Almost surely, 2^222133116100 is an apocalyptic number.

222133116100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222133116100 is the 471310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222133116100

222133116100 is an abundant number, since it is smaller than the sum of its proper divisors (338677628387).

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

222133116100 is an frugal number, since it uses more digits than its factorization.

222133116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 222133116100 its reverse (1611331222), we get a palindrome (223744447322).

It can be divided in two parts, 22213 and 3116100, that added together give a palindrome (3138313).

The spelling of 222133116100 in words is "two hundred twenty-two billion, one hundred thirty-three million, one hundred sixteen thousand, one hundred".