100342101123 has 144 divisors (see below), whose sum is σ = 175550487840. Its totient is φ = 54975697920.

The previous prime is 100342101113. The next prime is 100342101131. The reversal of 100342101123 is 321101243001.

100342101123 is a `hidden beast` number, since 100 + 342 + 101 + 123 = 666.

It is not a de Polignac number, because 100342101123 - 2⁴ = 100342101107 is a prime.

It is a super-2 number, since 2×100342101123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100342101096 and 100342101105.

It is not an unprimeable number, because it can be changed into a prime (100342101113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40573815 + ... + 40576287.

It is an arithmetic number, because the mean of its divisors is an integer number (1219100610).

Almost surely, 2^100342101123 is an apocalyptic number.

100342101123 is a deficient number, since it is larger than the sum of its proper divisors (75208386717).

100342101123 is a wasteful number, since it uses less digits than its factorization.

100342101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100342101123 its reverse (321101243001), we get a palindrome (421443344124).

The spelling of 100342101123 in words is "one hundred billion, three hundred forty-two million, one hundred one thousand, one hundred twenty-three".