100100001000103 has 8 divisors (see below), whose sum is σ = 107800288440768. Its totient is φ = 92399754611424.

The previous prime is 100100001000089. The next prime is 100100001000217. The reversal of 100100001000103 is 301000100001001.

It is a happy number.

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

It is not a de Polignac number, because 100100001000103 - 2³⁷ = 99962562046631 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 (100100001003103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5102575 + ... + 15041152.

It is an arithmetic number, because the mean of its divisors is an integer number (13475036055096).

Almost surely, 2^{100100001000103} is an apocalyptic number.

100100001000103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100100001000103 is a deficient number, since it is larger than the sum of its proper divisors (7700287440665).

100100001000103 is a wasteful number, since it uses less digits than its factorization.

100100001000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20525993.

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

Adding to 100100001000103 its reverse (301000100001001), we get a palindrome (401100101001104).

The spelling of 100100001000103 in words is "one hundred trillion, one hundred billion, one million, one hundred three", and thus it is an aban number.