201121112111121 has 48 divisors (see below), whose sum is σ = 314155648035840. Its totient is φ = 123554323088640.

The previous prime is 201121112111119. The next prime is 201121112111173. The reversal of 201121112111121 is 121111211121102.

201121112111121 is a `hidden beast` number, since 201 + 1 + 211 + 121 + 11 + 121 = 666.

It is not a de Polignac number, because 201121112111121 - 2¹ = 201121112111119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201121112111094 and 201121112111103.

It is not an unprimeable number, because it can be changed into a prime (201121112111221) 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, 16767781 + ... + 26141933.

It is an arithmetic number, because the mean of its divisors is an integer number (6544909334080).

Almost surely, 2^{201121112111121} is an apocalyptic number.

It is an amenable number.

201121112111121 is a deficient number, since it is larger than the sum of its proper divisors (113034535924719).

201121112111121 is a wasteful number, since it uses less digits than its factorization.

201121112111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377606 (or 9377603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 201121112111121 its reverse (121111211121102), we get a palindrome (322232323232223).

The spelling of 201121112111121 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-one".