21493330488100 has 81 divisors (see below), whose sum is σ = 47012563675441. Its totient is φ = 8529292938400.

The previous prime is 21493330488073. The next prime is 21493330488103. The reversal of 21493330488100 is 188403339412.

The square root of 21493330488100 is 4636090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7737598975716 + 13755731512384 = 2781654^2 + 3708872^2 .

It is a super-2 number, since 2×21493330488100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21493330488103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6073276131 + ... + 6073279669.

Almost surely, 2^{21493330488100} is an apocalyptic number.

21493330488100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21493330488100 is the 4636090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21493330488100

21493330488100 is an abundant number, since it is smaller than the sum of its proper divisors (25519233187341).

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

21493330488100 is an frugal number, since it uses more digits than its factorization.

21493330488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 21493330488100 in words is "twenty-one trillion, four hundred ninety-three billion, three hundred thirty million, four hundred eighty-eight thousand, one hundred".