21812336100 has 189 divisors, whose sum is σ = 71096665017. Its totient is φ = 5805989280.

The previous prime is 21812336093. The next prime is 21812336111. The reversal of 21812336100 is 163321812.

It is a happy number.

The square root of 21812336100 is 147690.

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

21812336100 is a `hidden beast` number, since 2 + 1 + 8 + 12 + 33 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7852440996 + 13959895104 = 88614^2 + 118152^2 .

It is a super-2 number, since 2×21812336100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 39876027 + ... + 39876573.

Almost surely, 2^21812336100 is an apocalyptic number.

21812336100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21812336100 is the 147690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21812336100

21812336100 is an abundant number, since it is smaller than the sum of its proper divisors (49284328917).

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

21812336100 is an frugal number, since it uses more digits than its factorization.

21812336100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21812336100 its reverse (163321812), we get a palindrome (21975657912).

The spelling of 21812336100 in words is "twenty-one billion, eight hundred twelve million, three hundred thirty-six thousand, one hundred".