21214351202100 has 432 divisors, whose sum is σ = 75036673470528. Its totient is φ = 4608216023040.

The previous prime is 21214351202087. The next prime is 21214351202131. The reversal of 21214351202100 is 120215341212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22934164 + ... + 23841236.

It is an arithmetic number, because the mean of its divisors is an integer number (173696003404).

Almost surely, 2^{21214351202100} is an apocalyptic number.

21214351202100 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 21214351202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37518336735264).

21214351202100 is an abundant number, since it is smaller than the sum of its proper divisors (53822322268428).

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

21214351202100 is a wasteful number, since it uses less digits than its factorization.

21214351202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907184 (or 907170 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21214351202100 its reverse (120215341212), we get a palindrome (21334566543312).

The spelling of 21214351202100 in words is "twenty-one trillion, two hundred fourteen billion, three hundred fifty-one million, two hundred two thousand, one hundred".