201121111211121 has 6 divisors (see below), whose sum is σ = 290508271749410. Its totient is φ = 134080740807408.

The previous prime is 201121111211077. The next prime is 201121111211147. The reversal of 201121111211121 is 121112111121102.

201121111211121 is a `hidden beast` number, since 201 + 1 + 21 + 111 + 211 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192622865930496 + 8498245280625 = 13878864^2 + 2915175^2 .

It is not a de Polignac number, because 201121111211121 - 2⁷ = 201121111210993 is a prime.

It is a super-2 number, since 2×201121111211121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201121111211094 and 201121111211103.

It is not an unprimeable number, because it can be changed into a prime (201121111211161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11173395067276 + ... + 11173395067293.

Almost surely, 2^{201121111211121} is an apocalyptic number.

It is an amenable number.

201121111211121 is a deficient number, since it is larger than the sum of its proper divisors (89387160538289).

201121111211121 is a wasteful number, since it uses less digits than its factorization.

201121111211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22346790134575 (or 22346790134572 counting only the distinct ones).

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

Adding to 201121111211121 its reverse (121112111121102), we get a palindrome (322233222332223).

The spelling of 201121111211121 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".