21002122201200 has 360 divisors, whose sum is σ = 78421571805312. Its totient is φ = 4790621283840.

The previous prime is 21002122201157. The next prime is 21002122201211. The reversal of 21002122201200 is 210222120012.

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 21002122201200.

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, 28268887 + ... + 29002313.

Almost surely, 2^{21002122201200} is an apocalyptic number.

21002122201200 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 21002122201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39210785902656).

21002122201200 is an abundant number, since it is smaller than the sum of its proper divisors (57419449604112).

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

21002122201200 is a wasteful number, since it uses less digits than its factorization.

21002122201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733949 (or 733931 counting only the distinct ones).

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

Adding to 21002122201200 its reverse (210222120012), we get a palindrome (21212344321212).

The spelling of 21002122201200 in words is "twenty-one trillion, two billion, one hundred twenty-two million, two hundred one thousand, two hundred".