100133242132224 has 144 divisors (see below), whose sum is σ = 306150040969472. Its totient is φ = 28461261717504.

The previous prime is 100133242132223. The next prime is 100133242132247. The reversal of 100133242132224 is 422231242331001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100133242132191 and 100133242132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133242132223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47216254 + ... + 49291389.

Almost surely, 2^{100133242132224} is an apocalyptic number.

100133242132224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100133242132224 is an abundant number, since it is smaller than the sum of its proper divisors (206016798837248).

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

100133242132224 is an equidigital number, since it uses as much as digits as its factorization.

100133242132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96507862 (or 96507848 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 100133242132224 its reverse (422231242331001), we get a palindrome (522364484463225).

The spelling of 100133242132224 in words is "one hundred trillion, one hundred thirty-three billion, two hundred forty-two million, one hundred thirty-two thousand, two hundred twenty-four".