201122111220121 has 64 divisors (see below), whose sum is σ = 262461701537280. Its totient is φ = 149560030679040.

The previous prime is 201122111220103. The next prime is 201122111220131. The reversal of 201122111220121 is 121022111221102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201122111220121 - 2²⁵ = 201122077665689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201122111220131) 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 63 ways as a sum of consecutive naturals, for example, 4700521090 + ... + 4700563876.

It is an arithmetic number, because the mean of its divisors is an integer number (4100964086520).

Almost surely, 2^{201122111220121} is an apocalyptic number.

It is an amenable number.

201122111220121 is a deficient number, since it is larger than the sum of its proper divisors (61339590317159).

201122111220121 is a wasteful number, since it uses less digits than its factorization.

201122111220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46994.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201122111220121 its reverse (121022111221102), we get a palindrome (322144222441223).

The spelling of 201122111220121 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty-one".