1100010100103 has 8 divisors (see below), whose sum is σ = 1104771049200. Its totient is φ = 1095249492288.

The previous prime is 1100010100081. The next prime is 1100010100169. The reversal of 1100010100103 is 3010010100011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100010100103 - 2²⁸ = 1099741664647 is a prime.

It is a super-3 number, since 3×1100010100103³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010100003) 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 7 ways as a sum of consecutive naturals, for example, 8045033 + ... + 8180621.

It is an arithmetic number, because the mean of its divisors is an integer number (138096381150).

Almost surely, 2^{1100010100103} is an apocalyptic number.

1100010100103 is a deficient number, since it is larger than the sum of its proper divisors (4760949097).

1100010100103 is a wasteful number, since it uses less digits than its factorization.

1100010100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170641.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1100010100103 its reverse (3010010100011), we get a palindrome (4110020200114).

The spelling of 1100010100103 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one hundred three".