10124102400 has 216 divisors, whose sum is σ = 34045477200. Its totient is φ = 2648555520.

The previous prime is 10124102389. The next prime is 10124102413. The reversal of 10124102400 is 420142101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10124102400.

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, 1012626 + ... + 1022574.

It is an arithmetic number, because the mean of its divisors is an integer number (157617950).

Almost surely, 2^10124102400 is an apocalyptic number.

10124102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10124102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022738600).

10124102400 is an abundant number, since it is smaller than the sum of its proper divisors (23921374800).

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

10124102400 is an equidigital number, since it uses as much as digits as its factorization.

10124102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10124102400 its reverse (420142101), we get a palindrome (10544244501).

The spelling of 10124102400 in words is "ten billion, one hundred twenty-four million, one hundred two thousand, four hundred".