21242043444100 has 72 divisors (see below), whose sum is σ = 48825167489280. Its totient is φ = 7993981739520.

The previous prime is 21242043444077. The next prime is 21242043444107. The reversal of 21242043444100 is 144434024212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21242043444107) 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, 2139621 + ... + 6860179.

It is an arithmetic number, because the mean of its divisors is an integer number (678127326240).

Almost surely, 2^{21242043444100} is an apocalyptic number.

21242043444100 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 21242043444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412583744640).

21242043444100 is an abundant number, since it is smaller than the sum of its proper divisors (27583124045180).

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

21242043444100 is a wasteful number, since it uses less digits than its factorization.

21242043444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723237 (or 4723230 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 21242043444100 its reverse (144434024212), we get a palindrome (21386477468312).

The spelling of 21242043444100 in words is "twenty-one trillion, two hundred forty-two billion, forty-three million, four hundred forty-four thousand, one hundred".