21322718100 has 288 divisors, whose sum is σ = 71822903040. Its totient is φ = 5416519680.

The previous prime is 21322718069. The next prime is 21322718111. The reversal of 21322718100 is 181722312.

It is a super-4 number, since 4×21322718100⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19436752 + ... + 19437848.

It is an arithmetic number, because the mean of its divisors is an integer number (249385080).

Almost surely, 2^21322718100 is an apocalyptic number.

21322718100 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 21322718100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911451520).

21322718100 is an abundant number, since it is smaller than the sum of its proper divisors (50500184940).

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

21322718100 is a wasteful number, since it uses less digits than its factorization.

21322718100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 21322718100 in words is "twenty-one billion, three hundred twenty-two million, seven hundred eighteen thousand, one hundred".