21201122201121 has 96 divisors (see below), whose sum is σ = 32646216844800. Its totient is φ = 13232994001920.

The previous prime is 21201122201113. The next prime is 21201122201143. The reversal of 21201122201121 is 12110222110212.

21201122201121 is a `hidden beast` number, since 21 + 201 + 122 + 201 + 121 = 666.

It is not a de Polignac number, because 21201122201121 - 2³ = 21201122201113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21201122201094 and 21201122201103.

It is not an unprimeable number, because it can be changed into a prime (21201122201921) 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, 3759728020 + ... + 3759733658.

It is an arithmetic number, because the mean of its divisors is an integer number (340064758800).

Almost surely, 2^{21201122201121} is an apocalyptic number.

It is an amenable number.

21201122201121 is a deficient number, since it is larger than the sum of its proper divisors (11445094643679).

21201122201121 is a wasteful number, since it uses less digits than its factorization.

21201122201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21201122201121 its reverse (12110222110212), we get a palindrome (33311344311333).

Subtracting from 21201122201121 its reverse (12110222110212), we obtain a palindrome (9090900090909).

The spelling of 21201122201121 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".