201322310011121 has 32 divisors (see below), whose sum is σ = 226444341312000. Its totient is φ = 177591820589568.

The previous prime is 201322310011103. The next prime is 201322310011183. The reversal of 201322310011121 is 121110013223102.

It is a cyclic number.

It is not a de Polignac number, because 201322310011121 - 2¹⁴ = 201322309994737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201322310011093 and 201322310011102.

It is not an unprimeable number, because it can be changed into a prime (201322310011021) 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 31 ways as a sum of consecutive naturals, for example, 1630355660 + ... + 1630479138.

It is an arithmetic number, because the mean of its divisors is an integer number (7076385666000).

Almost surely, 2^{201322310011121} is an apocalyptic number.

It is an amenable number.

201322310011121 is a deficient number, since it is larger than the sum of its proper divisors (25122031300879).

201322310011121 is a wasteful number, since it uses less digits than its factorization.

201322310011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128513.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201322310011121 its reverse (121110013223102), we get a palindrome (322432323234223).

The spelling of 201322310011121 in words is "two hundred one trillion, three hundred twenty-two billion, three hundred ten million, eleven thousand, one hundred twenty-one".