21144334100 has 72 divisors (see below), whose sum is σ = 47836625760. Its totient is φ = 8105086080.

The previous prime is 21144334031. The next prime is 21144334111. The reversal of 21144334100 is 143344112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181511 + ... + 274289.

It is an arithmetic number, because the mean of its divisors is an integer number (664397580).

Almost surely, 2^21144334100 is an apocalyptic number.

21144334100 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 21144334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23918312880).

21144334100 is an abundant number, since it is smaller than the sum of its proper divisors (26692291660).

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

21144334100 is a wasteful number, since it uses less digits than its factorization.

21144334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92889 (or 92882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21144334100 its reverse (143344112), we get a palindrome (21287678212).

The spelling of 21144334100 in words is "twenty-one billion, one hundred forty-four million, three hundred thirty-four thousand, one hundred".