100321344123 has 128 divisors (see below), whose sum is σ = 184910874624. Its totient is φ = 46689177600.

The previous prime is 100321344113. The next prime is 100321344191. The reversal of 100321344123 is 321443123001.

It is a happy number.

It is not a de Polignac number, because 100321344123 - 2⁴ = 100321344107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100321344093 and 100321344102.

It is not an unprimeable number, because it can be changed into a prime (100321344113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57887965 + ... + 57889697.

It is an arithmetic number, because the mean of its divisors is an integer number (1444616208).

Almost surely, 2^100321344123 is an apocalyptic number.

100321344123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100321344123 is a deficient number, since it is larger than the sum of its proper divisors (84589530501).

100321344123 is a wasteful number, since it uses less digits than its factorization.

100321344123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100321344123 its reverse (321443123001), we get a palindrome (421764467124).

It can be divided in two parts, 100321 and 344123, that added together give a palindrome (444444).

The spelling of 100321344123 in words is "one hundred billion, three hundred twenty-one million, three hundred forty-four thousand, one hundred twenty-three".