21202100221200 has 240 divisors, whose sum is σ = 71012395392000. Its totient is φ = 5397230615040.

The previous prime is 21202100221189. The next prime is 21202100221241. The reversal of 21202100221200 is 212200120212.

It is a tau number, because it is divible by the number of its divisors (240).

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 21202100221200.

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 47 ways as a sum of consecutive naturals, for example, 13002669 + ... + 14542131.

It is an arithmetic number, because the mean of its divisors is an integer number (295884980800).

Almost surely, 2^{21202100221200} is an apocalyptic number.

21202100221200 is a gapful number since it is divisible by the number (20) 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 21202100221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35506197696000).

21202100221200 is an abundant number, since it is smaller than the sum of its proper divisors (49810295170800).

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

21202100221200 is a wasteful number, since it uses less digits than its factorization.

21202100221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540006 (or 1539995 counting only the distinct ones).

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

Adding to 21202100221200 its reverse (212200120212), we get a palindrome (21414300341412).

The spelling of 21202100221200 in words is "twenty-one trillion, two hundred two billion, one hundred million, two hundred twenty-one thousand, two hundred".