100011001103 has 12 divisors (see below), whose sum is σ = 109335736440. Its totient is φ = 90939915792.

The previous prime is 100011001093. The next prime is 100011001109. The reversal of 100011001103 is 301100110001.

It is not a de Polignac number, because 100011001103 - 2¹⁶ = 100010935567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 798533 + ... + 915246.

It is an arithmetic number, because the mean of its divisors is an integer number (9111311370).

Almost surely, 2^100011001103 is an apocalyptic number.

100011001103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100011001103 is a deficient number, since it is larger than the sum of its proper divisors (9324735337).

100011001103 is an equidigital number, since it uses as much as digits as its factorization.

100011001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713926 (or 1713859 counting only the distinct ones).

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

Adding to 100011001103 its reverse (301100110001), we get a palindrome (401111111104).

The spelling of 100011001103 in words is "one hundred billion, eleven million, one thousand, one hundred three".