21122211111201 has 48 divisors (see below), whose sum is σ = 32704343315280. Its totient is φ = 13114522736640.

The previous prime is 21122211111193. The next prime is 21122211111223. The reversal of 21122211111201 is 10211111222112.

It is a happy number.

21122211111201 is a `hidden beast` number, since 21 + 122 + 211 + 111 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2662560000 + 21119548551201 = 51600^2 + 4595601^2 .

It is not a de Polignac number, because 21122211111201 - 2³ = 21122211111193 is a prime.

It is a super-2 number, since 2×21122211111201² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21122211111101) 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 47 ways as a sum of consecutive naturals, for example, 13871436 + ... + 15318653.

It is an arithmetic number, because the mean of its divisors is an integer number (681340485735).

Almost surely, 2^{21122211111201} is an apocalyptic number.

It is an amenable number.

21122211111201 is a deficient number, since it is larger than the sum of its proper divisors (11582132204079).

21122211111201 is a wasteful number, since it uses less digits than its factorization.

21122211111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190226 (or 29190223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21122211111201 its reverse (10211111222112), we get a palindrome (31333322333313).

The spelling of 21122211111201 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, two hundred one".