1100213123300 has 72 divisors (see below), whose sum is σ = 2403480828840. Its totient is φ = 437134464000.

The previous prime is 1100213123299. The next prime is 1100213123329. The reversal of 1100213123300 is 33213120011.

It can be written as a sum of positive squares in 12 ways, for example, as 1041424332004 + 58788791296 = 1020502^2 + 242464^2 .

It is an unprimeable number.

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, 54453200 + ... + 54473400.

Almost surely, 2^{1100213123300} is an apocalyptic number.

1100213123300 is a gapful number since it is divisible by the number (10) 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 1100213123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201740414420).

1100213123300 is an abundant number, since it is smaller than the sum of its proper divisors (1303267705540).

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

1100213123300 is a wasteful number, since it uses less digits than its factorization.

1100213123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23841 (or 23834 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1100213123300 its reverse (33213120011), we get a palindrome (1133426243311).

The spelling of 1100213123300 in words is "one trillion, one hundred billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred".