21000201222000 has 3200 divisors, whose sum is σ = 95464329891840. Its totient is φ = 3863946240000.

The previous prime is 21000201221959. The next prime is 21000201222017. The reversal of 21000201222000 is 22210200012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 639 ways as a sum of consecutive naturals, for example, 295777481965 + ... + 295777482035.

Almost surely, 2^{21000201222000} is an apocalyptic number.

21000201222000 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 21000201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47732164945920).

21000201222000 is an abundant number, since it is smaller than the sum of its proper divisors (74464128669840).

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

21000201222000 is a wasteful number, since it uses less digits than its factorization.

21000201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21000201222000 its reverse (22210200012), we get a palindrome (21022411422012).

The spelling of 21000201222000 in words is "twenty-one trillion, two hundred one million, two hundred twenty-two thousand".