10010434124000 has 96 divisors (see below), whose sum is σ = 24906974601600. Its totient is φ = 3953487782400.

The previous prime is 10010434123981. The next prime is 10010434124011. The reversal of 10010434124000 is 42143401001.

10010434124000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15523295 + ... + 16155294.

It is an arithmetic number, because the mean of its divisors is an integer number (259447652100).

Almost surely, 2^{10010434124000} is an apocalyptic number.

10010434124000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010434124000 is an abundant number, since it is smaller than the sum of its proper divisors (14896540477600).

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

10010434124000 is an equidigital number, since it uses as much as digits as its factorization.

10010434124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31678693 (or 31678675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10010434124000 its reverse (42143401001), we get a palindrome (10052577525001).

The spelling of 10010434124000 in words is "ten trillion, ten billion, four hundred thirty-four million, one hundred twenty-four thousand".