21100443413301 has 144 divisors (see below), whose sum is σ = 37129318821504. Its totient is φ = 11491669905408.

The previous prime is 21100443413297. The next prime is 21100443413311. The reversal of 21100443413301 is 10331434400112.

21100443413301 is a `hidden beast` number, since 2 + 1 + 10 + 0 + 4 + 4 + 341 + 3 + 301 = 666.

It is not a de Polignac number, because 21100443413301 - 2² = 21100443413297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100443413311) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3983467885 + ... + 3983473181.

It is an arithmetic number, because the mean of its divisors is an integer number (257842491816).

Almost surely, 2^{21100443413301} is an apocalyptic number.

21100443413301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21100443413301 is a deficient number, since it is larger than the sum of its proper divisors (16028875408203).

21100443413301 is a wasteful number, since it uses less digits than its factorization.

21100443413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6670 counting only the distinct ones).

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

Adding to 21100443413301 its reverse (10331434400112), we get a palindrome (31431877813413).

The spelling of 21100443413301 in words is "twenty-one trillion, one hundred billion, four hundred forty-three million, four hundred thirteen thousand, three hundred one".