201121111201121 has 2 divisors, whose sum is σ = 201121111201122. Its totient is φ = 201121111201120.

The previous prime is 201121111201091. The next prime is 201121111201181. The reversal of 201121111201121 is 121102111121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154424388951121 + 46696722250000 = 12426761^2 + 6833500^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121111201121 - 2⁶ = 201121111201057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201121111201121.

It is not a weakly prime, because it can be changed into another prime (201121111201181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560555600560 + 100560555600561.

It is an arithmetic number, because the mean of its divisors is an integer number (100560555600561).

Almost surely, 2^{201121111201121} is an apocalyptic number.

It is an amenable number.

201121111201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121111201121 is an equidigital number, since it uses as much as digits as its factorization.

201121111201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 201121111201121 its reverse (121102111121102), we get a palindrome (322223222322223).

The spelling of 201121111201121 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one hundred twenty-one".