21010220342400 has 192 divisors, whose sum is σ = 69206464565280. Its totient is φ = 5602397429760.

The previous prime is 21010220342399. The next prime is 21010220342411. The reversal of 21010220342400 is 424302201012.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194797287 + ... + 194905113.

Almost surely, 2^{21010220342400} is an apocalyptic number.

21010220342400 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 21010220342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34603232282640).

21010220342400 is an abundant number, since it is smaller than the sum of its proper divisors (48196244222880).

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

21010220342400 is a wasteful number, since it uses less digits than its factorization.

21010220342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128151 (or 128134 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21010220342400 its reverse (424302201012), we get a palindrome (21434522543412).

The spelling of 21010220342400 in words is "twenty-one trillion, ten billion, two hundred twenty million, three hundred forty-two thousand, four hundred".