21201323002200 has 288 divisors, whose sum is σ = 78428061354240. Its totient is φ = 5089814035200.

The previous prime is 21201323002129. The next prime is 21201323002219. The reversal of 21201323002200 is 220032310212.

21201323002200 is a `hidden beast` number, since 2 + 12 + 0 + 132 + 300 + 220 + 0 = 666.

It is a super-2 number, since 2×21201323002200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3158532 + ... + 7237331.

It is an arithmetic number, because the mean of its divisors is an integer number (272319657480).

Almost surely, 2^{21201323002200} is an apocalyptic number.

21201323002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201323002200 is an abundant number, since it is smaller than the sum of its proper divisors (57226738352040).

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

21201323002200 is a wasteful number, since it uses less digits than its factorization.

21201323002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395999 (or 10395987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21201323002200 its reverse (220032310212), we get a palindrome (21421355312412).

The spelling of 21201323002200 in words is "twenty-one trillion, two hundred one billion, three hundred twenty-three million, two thousand, two hundred".