201121112221121 has 32 divisors (see below), whose sum is σ = 213612035383296. Its totient is φ = 188951649480000.

The previous prime is 201121112221067. The next prime is 201121112221147. The reversal of 201121112221121 is 121122211121102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201121112221121 - 2³⁴ = 201103932351937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201121112221093 and 201121112221102.

It is not an unprimeable number, because it can be changed into a prime (201121112221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782838216 + ... + 2782910486.

It is an arithmetic number, because the mean of its divisors is an integer number (6675376105728).

Almost surely, 2^{201121112221121} is an apocalyptic number.

It is an amenable number.

201121112221121 is a deficient number, since it is larger than the sum of its proper divisors (12490923162175).

201121112221121 is a wasteful number, since it uses less digits than its factorization.

201121112221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75173.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 201121112221121 its reverse (121122211121102), we get a palindrome (322243323342223).

The spelling of 201121112221121 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".