100412410133124 has 72 divisors (see below), whose sum is σ = 268827413557248. Its totient is φ = 31492959563520.

The previous prime is 100412410133099. The next prime is 100412410133137. The reversal of 100412410133124 is 421331014214001.

It is a happy number.

100412410133124 is a `hidden beast` number, since 100 + 4 + 1 + 2 + 410 + 133 + 12 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21216772 + ... + 25514235.

It is an arithmetic number, because the mean of its divisors is an integer number (3733714077184).

Almost surely, 2^{100412410133124} is an apocalyptic number.

It is an amenable number.

100412410133124 is an abundant number, since it is smaller than the sum of its proper divisors (168415003424124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100412410133124 is a wasteful number, since it uses less digits than its factorization.

100412410133124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46734545 (or 46734540 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 100412410133124 its reverse (421331014214001), we get a palindrome (521743424347125).

The spelling of 100412410133124 in words is "one hundred trillion, four hundred twelve billion, four hundred ten million, one hundred thirty-three thousand, one hundred twenty-four".