21300144140220 has 192 divisors, whose sum is σ = 65557718876160. Its totient is φ = 5124416544000.

The previous prime is 21300144140207. The next prime is 21300144140239. The reversal of 21300144140220 is 2204144100312.

It is a super-2 number, since 2×21300144140220² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101448669 + ... + 101658411.

It is an arithmetic number, because the mean of its divisors is an integer number (341446452480).

Almost surely, 2^{21300144140220} is an apocalyptic number.

21300144140220 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 21300144140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778859438080).

21300144140220 is an abundant number, since it is smaller than the sum of its proper divisors (44257574735940).

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

21300144140220 is a wasteful number, since it uses less digits than its factorization.

21300144140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210936 (or 210934 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21300144140220 its reverse (2204144100312), we get a palindrome (23504288240532).

The spelling of 21300144140220 in words is "twenty-one trillion, three hundred billion, one hundred forty-four million, one hundred forty thousand, two hundred twenty".