21200212021120 has 256 divisors, whose sum is σ = 58576079620800. Its totient is φ = 7251401113600.

The previous prime is 21200212021097. The next prime is 21200212021141. The reversal of 21200212021120 is 2112021200212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21200212021094 and 21200212021103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205917816 + ... + 206020744.

Almost surely, 2^{21200212021120} is an apocalyptic number.

21200212021120 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 21200212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288039810400).

21200212021120 is an abundant number, since it is smaller than the sum of its proper divisors (37375867599680).

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

21200212021120 is a wasteful number, since it uses less digits than its factorization.

21200212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104697 (or 104685 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21200212021120 its reverse (2112021200212), we get a palindrome (23312233221332).

The spelling of 21200212021120 in words is "twenty-one trillion, two hundred billion, two hundred twelve million, twenty-one thousand, one hundred twenty".