21032130021100 has 288 divisors, whose sum is σ = 52578756744192. Its totient is φ = 7227792000000.

The previous prime is 21032130020971. The next prime is 21032130021107. The reversal of 21032130021100 is 112003123012.

It is not an unprimeable number, because it can be changed into a prime (21032130021107) 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, 1244422650 + ... + 1244439550.

It is an arithmetic number, because the mean of its divisors is an integer number (182565127584).

Almost surely, 2^{21032130021100} is an apocalyptic number.

21032130021100 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 21032130021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289378372096).

21032130021100 is an abundant number, since it is smaller than the sum of its proper divisors (31546626723092).

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

21032130021100 is a wasteful number, since it uses less digits than its factorization.

21032130021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17537 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21032130021100 its reverse (112003123012), we get a palindrome (21144133144112).

The spelling of 21032130021100 in words is "twenty-one trillion, thirty-two billion, one hundred thirty million, twenty-one thousand, one hundred".