10021124400 has 480 divisors, whose sum is σ = 39684840960. Its totient is φ = 2110095360.

The previous prime is 10021124383. The next prime is 10021124413. The reversal of 10021124400 is 442112001.

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 10021124400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5904352 + ... + 5906048.

It is an arithmetic number, because the mean of its divisors is an integer number (82676752).

Almost surely, 2^10021124400 is an apocalyptic number.

10021124400 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 10021124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842420480).

10021124400 is an abundant number, since it is smaller than the sum of its proper divisors (29663716560).

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

10021124400 is a wasteful number, since it uses less digits than its factorization.

10021124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1770 counting only the distinct ones).

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

Adding to 10021124400 its reverse (442112001), we get a palindrome (10463236401).

It can be divided in two parts, 10021 and 124400, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 10021124400 in words is "ten billion, twenty-one million, one hundred twenty-four thousand, four hundred".