10221333102400 has 84 divisors (see below), whose sum is σ = 28743848905888. Its totient is φ = 3504457059840.

The previous prime is 10221333102371. The next prime is 10221333102433. The reversal of 10221333102400 is 420133312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456298314 + ... + 456320713.

Almost surely, 2^{10221333102400} is an apocalyptic number.

10221333102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221333102400 is an abundant number, since it is smaller than the sum of its proper divisors (18522515803488).

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

10221333102400 is an equidigital number, since it uses as much as digits as its factorization.

10221333102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912619056 (or 912619041 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10221333102400 its reverse (420133312201), we get a palindrome (10641466414601).

The spelling of 10221333102400 in words is "ten trillion, two hundred twenty-one billion, three hundred thirty-three million, one hundred two thousand, four hundred".