21200101230400 has 336 divisors, whose sum is σ = 55716051087360. Its totient is φ = 7916740761600.

The previous prime is 21200101230389. The next prime is 21200101230421. The reversal of 21200101230400 is 403210100212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621267739 + ... + 621301861.

Almost surely, 2^{21200101230400} is an apocalyptic number.

21200101230400 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 21200101230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858025543680).

21200101230400 is an abundant number, since it is smaller than the sum of its proper divisors (34515949856960).

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

21200101230400 is a wasteful number, since it uses less digits than its factorization.

21200101230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34462 (or 34447 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21200101230400 its reverse (403210100212), we get a palindrome (21603311330612).

The spelling of 21200101230400 in words is "twenty-one trillion, two hundred billion, one hundred one million, two hundred thirty thousand, four hundred".