21022414100 has 72 divisors (see below), whose sum is σ = 46196652600. Its totient is φ = 8302694400.

The previous prime is 21022414097. The next prime is 21022414109. The reversal of 21022414100 is 141422012.

It can be written as a sum of positive squares in 12 ways, for example, as 9184538896 + 11837875204 = 95836^2 + 108802^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022414109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8978930 + ... + 8981270.

It is an arithmetic number, because the mean of its divisors is an integer number (641620175).

Almost surely, 2^21022414100 is an apocalyptic number.

21022414100 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 21022414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098326300).

21022414100 is an abundant number, since it is smaller than the sum of its proper divisors (25174238500).

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

21022414100 is a wasteful number, since it uses less digits than its factorization.

21022414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21022414100 its reverse (141422012), we get a palindrome (21163836112).

The spelling of 21022414100 in words is "twenty-one billion, twenty-two million, four hundred fourteen thousand, one hundred".