10221024400 has 30 divisors (see below), whose sum is σ = 24556012082. Its totient is φ = 4088409600.

The previous prime is 10221024391. The next prime is 10221024421. The reversal of 10221024400 is 442012201.

It can be written as a sum of positive squares in 3 ways, for example, as 115949824 + 10105074576 = 10768^2 + 100524^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12775881 + ... + 12776680.

Almost surely, 2^10221024400 is an apocalyptic number.

10221024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221024400 is an abundant number, since it is smaller than the sum of its proper divisors (14334987682).

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

10221024400 is a wasteful number, since it uses less digits than its factorization.

10221024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25552579 (or 25552568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10221024400 its reverse (442012201), we get a palindrome (10663036601).

The spelling of 10221024400 in words is "ten billion, two hundred twenty-one million, twenty-four thousand, four hundred".