100001101003 has 4 divisors (see below), whose sum is σ = 100935690840. Its totient is φ = 99066511168.

The previous prime is 100001100961. The next prime is 100001101009. The reversal of 100001101003 is 300101100001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 300101100001 = 2371 ⋅126571531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001101003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001101009) 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 3 ways as a sum of consecutive naturals, for example, 467294758 + ... + 467294971.

It is an arithmetic number, because the mean of its divisors is an integer number (25233922710).

Almost surely, 2^100001101003 is an apocalyptic number.

100001101003 is a deficient number, since it is larger than the sum of its proper divisors (934589837).

100001101003 is an equidigital number, since it uses as much as digits as its factorization.

100001101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934589836.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100001101003 its reverse (300101100001), we get a palindrome (400102201004).

The spelling of 100001101003 in words is "one hundred billion, one million, one hundred one thousand, three".