21420210214200 has 192 divisors, whose sum is σ = 75908376552960. Its totient is φ = 4894781483520.

The previous prime is 21420210214181. The next prime is 21420210214201. The reversal of 21420210214200 is 241201202412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21420210214201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15625669 + ... + 16941131.

It is an arithmetic number, because the mean of its divisors is an integer number (395356127880).

Almost surely, 2^{21420210214200} is an apocalyptic number.

21420210214200 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 21420210214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37954188276480).

21420210214200 is an abundant number, since it is smaller than the sum of its proper divisors (54488166338760).

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

21420210214200 is a wasteful number, since it uses less digits than its factorization.

21420210214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319366 (or 1319357 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21420210214200 its reverse (241201202412), we get a palindrome (21661411416612).

The spelling of 21420210214200 in words is "twenty-one trillion, four hundred twenty billion, two hundred ten million, two hundred fourteen thousand, two hundred".