2222133101100 has 864 divisors, whose sum is σ = 7885587790080. Its totient is φ = 518848512000.

The previous prime is 2222133101077. The next prime is 2222133101141. The reversal of 2222133101100 is 11013312222.

2222133101100 is a `hidden beast` number, since 2 + 2 + 221 + 331 + 0 + 110 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8646432172 + ... + 8646432428.

It is an arithmetic number, because the mean of its divisors is an integer number (9126837720).

Almost surely, 2^{2222133101100} is an apocalyptic number.

2222133101100 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 2222133101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942793895040).

2222133101100 is an abundant number, since it is smaller than the sum of its proper divisors (5663454688980).

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

2222133101100 is a wasteful number, since it uses less digits than its factorization.

2222133101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2222133101100 its reverse (11013312222), we get a palindrome (2233146413322).

The spelling of 2222133101100 in words is "two trillion, two hundred twenty-two billion, one hundred thirty-three million, one hundred one thousand, one hundred".