100100100001003 has 8 divisors (see below), whose sum is σ = 102721148305776. Its totient is φ = 97487603241600.

The previous prime is 100100100000973. The next prime is 100100100001039. The reversal of 100100100001003 is 300100001001001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100001003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100100001043) 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, 2137862626 + ... + 2137909447.

It is an arithmetic number, because the mean of its divisors is an integer number (12840143538222).

Almost surely, 2^{100100100001003} is an apocalyptic number.

100100100001003 is a deficient number, since it is larger than the sum of its proper divisors (2621048304773).

100100100001003 is an equidigital number, since it uses as much as digits as its factorization.

100100100001003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275772685.

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

Adding to 100100100001003 its reverse (300100001001001), we get a palindrome (400200101002004).

The spelling of 100100100001003 in words is "one hundred trillion, one hundred billion, one hundred million, one thousand, three".