100002123 has 24 divisors (see below), whose sum is σ = 157893008. Its totient is φ = 60616512.

The previous prime is 100002113. The next prime is 100002127. The reversal of 100002123 is 321200001.

It is a happy number.

It is not a de Polignac number, because 100002123 - 2⁶ = 100002059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461 + ... + 14217.

Almost surely, 2^100002123 is an apocalyptic number.

100002123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100002123 is a deficient number, since it is larger than the sum of its proper divisors (57890885).

100002123 is a wasteful number, since it uses less digits than its factorization.

100002123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100002123 is about 10000.1061494366. The cubic root of 100002123 is about 464.1621680357.

Adding to 100002123 its reverse (321200001), we get a palindrome (421202124).

The spelling of 100002123 in words is "one hundred million, two thousand, one hundred twenty-three".