21442310012211 has 256 divisors, whose sum is σ = 34171335475200. Its totient is φ = 11830142016000.

The previous prime is 21442310012173. The next prime is 21442310012213. The reversal of 21442310012211 is 11221001324412.

It is not a de Polignac number, because 21442310012211 - 2²¹ = 21442307915059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21442310012213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96153856446 + ... + 96153856668.

It is an arithmetic number, because the mean of its divisors is an integer number (133481779200).

Almost surely, 2^{21442310012211} is an apocalyptic number.

21442310012211 is a deficient number, since it is larger than the sum of its proper divisors (12729025462989).

21442310012211 is a wasteful number, since it uses less digits than its factorization.

21442310012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21442310012211 its reverse (11221001324412), we get a palindrome (32663311336623).

The spelling of 21442310012211 in words is "twenty-one trillion, four hundred forty-two billion, three hundred ten million, twelve thousand, two hundred eleven".