21122312211 has 96 divisors (see below), whose sum is σ = 42072296448. Its totient is φ = 9854680320.

The previous prime is 21122312173. The next prime is 21122312249. The reversal of 21122312211 is 11221322112.

21122312211 is a `hidden beast` number, since 21 + 122 + 312 + 211 = 666.

It is an interprime number because it is at equal distance from previous prime (21122312173) and next prime (21122312249).

It is not a de Polignac number, because 21122312211 - 2²⁶ = 21055203347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21122312261) 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, 301650 + ... + 365016.

It is an arithmetic number, because the mean of its divisors is an integer number (438253088).

Almost surely, 2^21122312211 is an apocalyptic number.

21122312211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21122312211 is a deficient number, since it is larger than the sum of its proper divisors (20949984237).

21122312211 is a wasteful number, since it uses less digits than its factorization.

21122312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63441 (or 63438 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 21122312211 its reverse (11221322112), we get a palindrome (32343634323).

Subtracting from 21122312211 its reverse (11221322112), we obtain a palindrome (9900990099).

It can be divided in two parts, 21122 and 312211, that added together give a palindrome (333333).

The spelling of 21122312211 in words is "twenty-one billion, one hundred twenty-two million, three hundred twelve thousand, two hundred eleven".