1100330003101 has 12 divisors (see below), whose sum is σ = 1280001138240. Its totient is φ = 943121271960.

The previous prime is 1100330003033. The next prime is 1100330003159. The reversal of 1100330003101 is 1013000330011.

It is a happy number.

It is not a de Polignac number, because 1100330003101 - 2¹⁷ = 1100329872029 is a prime.

It is a super-2 number, since 2×1100330003101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100330003501) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2641036 + ... + 3029146.

It is an arithmetic number, because the mean of its divisors is an integer number (106666761520).

Almost surely, 2^{1100330003101} is an apocalyptic number.

It is an amenable number.

1100330003101 is a deficient number, since it is larger than the sum of its proper divisors (179671135139).

1100330003101 is an equidigital number, since it uses as much as digits as its factorization.

1100330003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445984 (or 445977 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1100330003101 its reverse (1013000330011), we get a palindrome (2113330333112).

The spelling of 1100330003101 in words is "one trillion, one hundred billion, three hundred thirty million, three thousand, one hundred one".