21120100201120 has 192 divisors, whose sum is σ = 54661405024800. Its totient is φ = 7675751301120.

The previous prime is 21120100201097. The next prime is 21120100201127. The reversal of 21120100201120 is 2110200102112.

It can be written as a sum of positive squares in 16 ways, for example, as 16310903832976 + 4809196368144 = 4038676^2 + 2192988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21120100201120.

It is not an unprimeable number, because it can be changed into a prime (21120100201127) 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, 648456196 + ... + 648488764.

Almost surely, 2^{21120100201120} is an apocalyptic number.

21120100201120 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 21120100201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27330702512400).

21120100201120 is an abundant number, since it is smaller than the sum of its proper divisors (33541304823680).

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

21120100201120 is a wasteful number, since it uses less digits than its factorization.

21120100201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40851 (or 40843 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21120100201120 its reverse (2110200102112), we get a palindrome (23230300303232).

The spelling of 21120100201120 in words is "twenty-one trillion, one hundred twenty billion, one hundred million, two hundred one thousand, one hundred twenty".