21321343140100 has 144 divisors (see below), whose sum is σ = 51002175683088. Its totient is φ = 7702929653760.

The previous prime is 21321343140089. The next prime is 21321343140107. The reversal of 21321343140100 is 104134312312.

It can be written as a sum of positive squares in 24 ways, for example, as 5963989168384 + 15357353971716 = 2442128^2 + 3918846^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21321343140107) 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, 2269974 + ... + 6913426.

It is an arithmetic number, because the mean of its divisors is an integer number (354181775577).

Almost surely, 2^{21321343140100} is an apocalyptic number.

21321343140100 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 21321343140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25501087841544).

21321343140100 is an abundant number, since it is smaller than the sum of its proper divisors (29680832542988).

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

21321343140100 is a wasteful number, since it uses less digits than its factorization.

21321343140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643594 (or 4643587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21321343140100 its reverse (104134312312), we get a palindrome (21425477452412).

The spelling of 21321343140100 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred forty-three million, one hundred forty thousand, one hundred".