1100210233122 has 192 divisors, whose sum is σ = 3287116594944. Its totient is φ = 256657144320.

The previous prime is 1100210233099. The next prime is 1100210233151. The reversal of 1100210233122 is 2213320120011.

1100210233122 is a `hidden beast` number, since 1 + 100 + 210 + 2 + 331 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100210233095 and 1100210233104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158493 + ... + 1491824.

It is an arithmetic number, because the mean of its divisors is an integer number (17120398932).

Almost surely, 2^{1100210233122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100210233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643558297472).

1100210233122 is an abundant number, since it is smaller than the sum of its proper divisors (2186906361822).

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

1100210233122 is a wasteful number, since it uses less digits than its factorization.

1100210233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650393 (or 1650390 counting only the distinct ones).

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

Adding to 1100210233122 its reverse (2213320120011), we get a palindrome (3313530353133).

The spelling of 1100210233122 in words is "one trillion, one hundred billion, two hundred ten million, two hundred thirty-three thousand, one hundred twenty-two".