21324101400 has 288 divisors, whose sum is σ = 82475078400. Its totient is φ = 4836499200.

The previous prime is 21324101399. The next prime is 21324101437. The reversal of 21324101400 is 410142312.

21324101400 is a `hidden beast` number, since 21 + 3 + 241 + 0 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1644141 + ... + 1657059.

It is an arithmetic number, because the mean of its divisors is an integer number (286371800).

Almost surely, 2^21324101400 is an apocalyptic number.

21324101400 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 21324101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41237539200).

21324101400 is an abundant number, since it is smaller than the sum of its proper divisors (61150977000).

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

21324101400 is a wasteful number, since it uses less digits than its factorization.

21324101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21324101400 its reverse (410142312), we get a palindrome (21734243712).

The spelling of 21324101400 in words is "twenty-one billion, three hundred twenty-four million, one hundred one thousand, four hundred".