100000001000123 has 8 divisors (see below), whose sum is σ = 114285803001600. Its totient is φ = 85714220891880.

The previous prime is 100000001000111. The next prime is 100000001000129. The reversal of 100000001000123 is 321000100000001.

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

It is not a de Polignac number, because 100000001000123 - 2²⁰ = 99999999951547 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100000001000123.

It is not an unprimeable number, because it can be changed into a prime (100000001000129) 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, 5886188 + ... + 15318198.

It is an arithmetic number, because the mean of its divisors is an integer number (14285725375200).

Almost surely, 2^{100000001000123} is an apocalyptic number.

100000001000123 is a deficient number, since it is larger than the sum of its proper divisors (14285802001477).

100000001000123 is an equidigital number, since it uses as much as digits as its factorization.

100000001000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10946617.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100000001000123 its reverse (321000100000001), we get a palindrome (421000101000124).

The spelling of 100000001000123 in words is "one hundred trillion, one million, one hundred twenty-three", and thus it is an aban number.