21573603340100 has 144 divisors (see below), whose sum is σ = 54445525263360. Its totient is φ = 7266463555200.

The previous prime is 21573603340063. The next prime is 21573603340103. The reversal of 21573603340100 is 104330637512.

It is a super-2 number, since 2×21573603340100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (21573603340103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62231447 + ... + 62577153.

It is an arithmetic number, because the mean of its divisors is an integer number (378093925440).

Almost surely, 2^{21573603340100} is an apocalyptic number.

21573603340100 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 21573603340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27222762631680).

21573603340100 is an abundant number, since it is smaller than the sum of its proper divisors (32871921923260).

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

21573603340100 is a wasteful number, since it uses less digits than its factorization.

21573603340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347298 (or 347291 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 21573603340100 its reverse (104330637512), we get a palindrome (21677933977612).

The spelling of 21573603340100 in words is "twenty-one trillion, five hundred seventy-three billion, six hundred three million, three hundred forty thousand, one hundred".