21011041334010 has 256 divisors, whose sum is σ = 64219625487360. Its totient is φ = 4279158374400.

The previous prime is 21011041333991. The next prime is 21011041334047. The reversal of 21011041334010 is 1043314011012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336678810 + ... + 336741210.

It is an arithmetic number, because the mean of its divisors is an integer number (250857912060).

Almost surely, 2^{21011041334010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011041334010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32109812743680).

21011041334010 is an abundant number, since it is smaller than the sum of its proper divisors (43208584153350).

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

21011041334010 is a wasteful number, since it uses less digits than its factorization.

21011041334010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66713.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21011041334010 its reverse (1043314011012), we get a palindrome (22054355345022).

The spelling of 21011041334010 in words is "twenty-one trillion, eleven billion, forty-one million, three hundred thirty-four thousand, ten".