111202122011121 has 40 divisors (see below), whose sum is σ = 167786106465384. Its totient is φ = 73389961612800.

The previous prime is 111202122011083. The next prime is 111202122011159. The reversal of 111202122011121 is 121110221202111.

It is a happy number.

111202122011121 is a `hidden beast` number, since 11 + 120 + 212 + 201 + 1 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (111202122011083) and next prime (111202122011159).

It can be written as a sum of positive squares in 4 ways, for example, as 12514507632225 + 98687614378896 = 3537585^2 + 9934164^2 .

It is not a de Polignac number, because 111202122011121 - 2¹¹ = 111202122009073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111202122011094 and 111202122011103.

It is not an unprimeable number, because it can be changed into a prime (111202122016121) 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 39 ways as a sum of consecutive naturals, for example, 54906135 + ... + 56895411.

Almost surely, 2^{111202122011121} is an apocalyptic number.

It is an amenable number.

111202122011121 is a deficient number, since it is larger than the sum of its proper divisors (56583984454263).

111202122011121 is a wasteful number, since it uses less digits than its factorization.

111202122011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996223 (or 1996214 counting only the distinct ones).

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

Adding to 111202122011121 its reverse (121110221202111), we get a palindrome (232312343213232).

The spelling of 111202122011121 in words is "one hundred eleven trillion, two hundred two billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".