201122111012121 has 40 divisors (see below), whose sum is σ = 323595038159624. Its totient is φ = 123751207676160.

The previous prime is 201122111012111. The next prime is 201122111012189. The reversal of 201122111012121 is 121210111221102.

It is a happy number.

201122111012121 is a `hidden beast` number, since 201 + 1 + 221 + 110 + 12 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99544739338521 + 101577371673600 = 9977211^2 + 10078560^2 .

It is not a de Polignac number, because 201122111012121 - 2¹³ = 201122111003929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201122111012094 and 201122111012103.

It is not an unprimeable number, because it can be changed into a prime (201122111012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4506196 + ... + 20556021.

Almost surely, 2^{201122111012121} is an apocalyptic number.

It is an amenable number.

201122111012121 is a deficient number, since it is larger than the sum of its proper divisors (122472927147503).

201122111012121 is a wasteful number, since it uses less digits than its factorization.

201122111012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069863 (or 25069854 counting only the distinct ones).

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

Adding to 201122111012121 its reverse (121210111221102), we get a palindrome (322332222233223).

The spelling of 201122111012121 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred eleven million, twelve thousand, one hundred twenty-one".