100012431010000 has 50 divisors (see below), whose sum is σ = 242140096742522. Its totient is φ = 40004972400000.

The previous prime is 100012431009991. The next prime is 100012431010013. The reversal of 100012431010000 is 10134210001.

100012431010000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 61908823022656 + 38103607987344 = 7868216^2 + 6172812^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5000611551 + ... + 5000631550.

Almost surely, 2^{100012431010000} is an apocalyptic number.

100012431010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012431010000 is an abundant number, since it is smaller than the sum of its proper divisors (142127665732522).

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

100012431010000 is an equidigital number, since it uses as much as digits as its factorization.

100012431010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001243129 (or 10001243108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100012431010000 its reverse (10134210001), we get a palindrome (100022565220001).

The spelling of 100012431010000 in words is "one hundred trillion, twelve billion, four hundred thirty-one million, ten thousand".