22222350552100 has 72 divisors (see below), whose sum is σ = 51099107025960. Its totient is φ = 8359509227520.

The previous prime is 22222350552047. The next prime is 22222350552109. The reversal of 22222350552100 is 125505322222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 335129841216 + 21887220710884 = 578904^2 + 4678378^2 .

It is not an unprimeable number, because it can be changed into a prime (22222350552109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947335 + ... + 7289134.

It is an arithmetic number, because the mean of its divisors is an integer number (709709819805).

Almost surely, 2^{22222350552100} is an apocalyptic number.

22222350552100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222350552100 is an abundant number, since it is smaller than the sum of its proper divisors (28876756473860).

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

22222350552100 is a wasteful number, since it uses less digits than its factorization.

22222350552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237777 (or 10237770 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 22222350552100 its reverse (125505322222), we get a palindrome (22347855874322).

The spelling of 22222350552100 in words is "twenty-two trillion, two hundred twenty-two billion, three hundred fifty million, five hundred fifty-two thousand, one hundred".