1100331132100 has 18 divisors (see below), whose sum is σ = 2387718556874. Its totient is φ = 440132452800.

The previous prime is 1100331132071. The next prime is 1100331132133. The reversal of 1100331132100 is 12311330011.

It can be written as a sum of positive squares in 3 ways, for example, as 4411085056 + 1095920047044 = 66416^2 + 1046862^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5501655561 + ... + 5501655760.

Almost surely, 2^{1100331132100} is an apocalyptic number.

1100331132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100331132100 is an abundant number, since it is smaller than the sum of its proper divisors (1287387424774).

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

1100331132100 is a wasteful number, since it uses less digits than its factorization.

1100331132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003311335 (or 11003311328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1100331132100 its reverse (12311330011), we get a palindrome (1112642462111).

The spelling of 1100331132100 in words is "one trillion, one hundred billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred".