222210220101100 has 288 divisors, whose sum is σ = 603926326241280. Its totient is φ = 68944114176000.

The previous prime is 222210220101091. The next prime is 222210220101119. The reversal of 222210220101100 is 1101022012222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5110491360 + ... + 5110534840.

It is an arithmetic number, because the mean of its divisors is an integer number (2096966410560).

Almost surely, 2^{222210220101100} is an apocalyptic number.

222210220101100 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 222210220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301963163120640).

222210220101100 is an abundant number, since it is smaller than the sum of its proper divisors (381716106140180).

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

222210220101100 is a wasteful number, since it uses less digits than its factorization.

222210220101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46529 (or 46522 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222210220101100 its reverse (1101022012222), we get a palindrome (223311242113322).

The spelling of 222210220101100 in words is "two hundred twenty-two trillion, two hundred ten billion, two hundred twenty million, one hundred one thousand, one hundred".