1100101100103 has 14 divisors (see below), whose sum is σ = 1649397123744. Its totient is φ = 733400732916.

The previous prime is 1100101100093. The next prime is 1100101100107. The reversal of 1100101100103 is 3010011010011.

It is not a de Polignac number, because 1100101100103 - 2⁵ = 1100101100071 is a prime.

It is a super-2 number, since 2×1100101100103² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101100107) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 754526775 + ... + 754528232.

Almost surely, 2^{1100101100103} is an apocalyptic number.

1100101100103 is a deficient number, since it is larger than the sum of its proper divisors (549296023641).

1100101100103 is an frugal number, since it uses more digits than its factorization.

1100101100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509055025 (or 1509055010 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1100101100103 its reverse (3010011010011), we get a palindrome (4110112110114).

The spelling of 1100101100103 in words is "one trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred three".