21201120110120 has 128 divisors (see below), whose sum is σ = 50687111059200. Its totient is φ = 7953395798016.

The previous prime is 21201120110119. The next prime is 21201120110129. The reversal of 21201120110120 is 2101102110212.

It is a junction number, because it is equal to n+sod(n) for n = 21201120110095 and 21201120110104.

It is not an unprimeable number, because it can be changed into a prime (21201120110129) by changing a digit.

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, 887844341 + ... + 887868219.

It is an arithmetic number, because the mean of its divisors is an integer number (395993055150).

Almost surely, 2^{21201120110120} is an apocalyptic number.

21201120110120 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 21201120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25343555529600).

21201120110120 is an abundant number, since it is smaller than the sum of its proper divisors (29485990949080).

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

21201120110120 is a wasteful number, since it uses less digits than its factorization.

21201120110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28467 (or 28463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21201120110120 its reverse (2101102110212), we get a palindrome (23302222220332).

The spelling of 21201120110120 in words is "twenty-one trillion, two hundred one billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".