21302122223100 has 144 divisors (see below), whose sum is σ = 62348880353760. Its totient is φ = 5614736793600.

The previous prime is 21302122223099. The next prime is 21302122223143. The reversal of 21302122223100 is 132222120312.

It is a super-2 number, since 2×21302122223100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75500290 + ... + 75781910.

It is an arithmetic number, because the mean of its divisors is an integer number (432978335790).

Almost surely, 2^{21302122223100} is an apocalyptic number.

21302122223100 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 21302122223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31174440176880).

21302122223100 is an abundant number, since it is smaller than the sum of its proper divisors (41046758130660).

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

21302122223100 is a wasteful number, since it uses less digits than its factorization.

21302122223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284560 (or 284553 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21302122223100 its reverse (132222120312), we get a palindrome (21434344343412).

The spelling of 21302122223100 in words is "twenty-one trillion, three hundred two billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred".