21102254400 has 168 divisors, whose sum is σ = 71104739680. Its totient is φ = 5475133440.

The previous prime is 21102254339. The next prime is 21102254401. The reversal of 21102254400 is 445220112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102254401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118191 + ... + 237009.

Almost surely, 2^21102254400 is an apocalyptic number.

21102254400 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 21102254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35552369840).

21102254400 is an abundant number, since it is smaller than the sum of its proper divisors (50002485280).

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

21102254400 is a wasteful number, since it uses less digits than its factorization.

21102254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118881 (or 118866 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 21102254400 its reverse (445220112), we get a palindrome (21547474512).

The spelling of 21102254400 in words is "twenty-one billion, one hundred two million, two hundred fifty-four thousand, four hundred".