21110320203120 has 240 divisors, whose sum is σ = 75158409991392. Its totient is φ = 5291740938240.

The previous prime is 21110320203079. The next prime is 21110320203127. The reversal of 21110320203120 is 2130202301112.

21110320203120 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 320 + 20 + 312 + 0 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 21110320203093 and 21110320203102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110320203127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8863324 + ... + 10989956.

Almost surely, 2^{21110320203120} is an apocalyptic number.

21110320203120 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 21110320203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37579204995696).

21110320203120 is an abundant number, since it is smaller than the sum of its proper divisors (54048089788272).

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

21110320203120 is a wasteful number, since it uses less digits than its factorization.

21110320203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127480 (or 2127471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21110320203120 its reverse (2130202301112), we get a palindrome (23240522504232).

The spelling of 21110320203120 in words is "twenty-one trillion, one hundred ten billion, three hundred twenty million, two hundred three thousand, one hundred twenty".