100100120123133 has 24 divisors (see below), whose sum is σ = 155711639283200. Its totient is φ = 61599938896800.

The previous prime is 100100120123099. The next prime is 100100120123137. The reversal of 100100120123133 is 331321021001001.

100100120123133 is a `hidden beast` number, since 100 + 100 + 1 + 201 + 231 + 33 = 666.

It is not a de Polignac number, because 100100120123133 - 2¹⁰ = 100100120122109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100120123137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91158708 + ... + 92250258.

Almost surely, 2^{100100120123133} is an apocalyptic number.

100100120123133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100100120123133 is a deficient number, since it is larger than the sum of its proper divisors (55611519160067).

100100120123133 is a wasteful number, since it uses less digits than its factorization.

100100120123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875369 (or 1875366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100100120123133 its reverse (331321021001001), we get a palindrome (431421141124134).

The spelling of 100100120123133 in words is "one hundred trillion, one hundred billion, one hundred twenty million, one hundred twenty-three thousand, one hundred thirty-three".