21101031330120 has 384 divisors, whose sum is σ = 80217682871040. Its totient is φ = 4709768232960.

The previous prime is 21101031330079. The next prime is 21101031330121. The reversal of 21101031330120 is 2103313010112.

21101031330120 is a `hidden beast` number, since 2 + 110 + 103 + 1 + 330 + 120 = 666.

It is a super-3 number, since 3×21101031330120³ (a number of 41 digits) contains 333 as substring.

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 = 21101031330093 and 21101031330102.

It is not an unprimeable number, because it can be changed into a prime (21101031330121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485539432 + ... + 485582888.

It is an arithmetic number, because the mean of its divisors is an integer number (208900215810).

Almost surely, 2^{21101031330120} is an apocalyptic number.

21101031330120 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 21101031330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40108841435520).

21101031330120 is an abundant number, since it is smaller than the sum of its proper divisors (59116651540920).

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

21101031330120 is a wasteful number, since it uses less digits than its factorization.

21101031330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48005 (or 47998 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21101031330120 its reverse (2103313010112), we get a palindrome (23204344340232).

The spelling of 21101031330120 in words is "twenty-one trillion, one hundred one billion, thirty-one million, three hundred thirty thousand, one hundred twenty".