21200001202100 has 288 divisors, whose sum is σ = 55373095895040. Its totient is φ = 6888066071040.

The previous prime is 21200001202049. The next prime is 21200001202109. The reversal of 21200001202100 is 120210000212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200001202109) 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 95 ways as a sum of consecutive naturals, for example, 758022317 + ... + 758050283.

It is an arithmetic number, because the mean of its divisors is an integer number (192267694080).

Almost surely, 2^{21200001202100} is an apocalyptic number.

21200001202100 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 21200001202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27686547947520).

21200001202100 is an abundant number, since it is smaller than the sum of its proper divisors (34173094692940).

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

21200001202100 is a wasteful number, since it uses less digits than its factorization.

21200001202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447 (or 28440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200001202100 its reverse (120210000212), we get a palindrome (21320211202312).

The spelling of 21200001202100 in words is "twenty-one trillion, two hundred billion, one million, two hundred two thousand, one hundred".