10021210224200 has 48 divisors (see below), whose sum is σ = 26627787170880. Its totient is φ = 3435843504960.

The previous prime is 10021210224161. The next prime is 10021210224217. The reversal of 10021210224200 is 242201212001.

It is a super-2 number, since 2×10021210224200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3579002252 + ... + 3579005051.

It is an arithmetic number, because the mean of its divisors is an integer number (554745566060).

Almost surely, 2^{10021210224200} is an apocalyptic number.

10021210224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021210224200 is an abundant number, since it is smaller than the sum of its proper divisors (16606576946680).

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

10021210224200 is a wasteful number, since it uses less digits than its factorization.

10021210224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158007326 (or 7158007317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10021210224200 its reverse (242201212001), we get a palindrome (10263411436201).

The spelling of 10021210224200 in words is "ten trillion, twenty-one billion, two hundred ten million, two hundred twenty-four thousand, two hundred".