21101341330242 has 192 divisors, whose sum is σ = 50514179040000. Its totient is φ = 6336411992064.

The previous prime is 21101341330213. The next prime is 21101341330249. The reversal of 21101341330242 is 24203314310112.

21101341330242 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 1 + 3 + 413 + 3 + 0 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (21101341330249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978307234 + ... + 978328802.

It is an arithmetic number, because the mean of its divisors is an integer number (263094682500).

Almost surely, 2^{21101341330242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101341330242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257089520000).

21101341330242 is an abundant number, since it is smaller than the sum of its proper divisors (29412837709758).

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

21101341330242 is a wasteful number, since it uses less digits than its factorization.

21101341330242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345 (or 22342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21101341330242 its reverse (24203314310112), we get a palindrome (45304655640354).

The spelling of 21101341330242 in words is "twenty-one trillion, one hundred one billion, three hundred forty-one million, three hundred thirty thousand, two hundred forty-two".