21102241200 has 120 divisors (see below), whose sum is σ = 67699113408. Its totient is φ = 5618807040.

The previous prime is 21102241163. The next prime is 21102241207. The reversal of 21102241200 is 214220112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21102241200.

It is not an unprimeable number, because it can be changed into a prime (21102241207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 806727 + ... + 832473.

Almost surely, 2^21102241200 is an apocalyptic number.

21102241200 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 21102241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33849556704).

21102241200 is an abundant number, since it is smaller than the sum of its proper divisors (46596872208).

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

21102241200 is a wasteful number, since it uses less digits than its factorization.

21102241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26451 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21102241200 its reverse (214220112), we get a palindrome (21316461312).

The spelling of 21102241200 in words is "twenty-one billion, one hundred two million, two hundred forty-one thousand, two hundred".