1200113111201 has 2 divisors, whose sum is σ = 1200113111202. Its totient is φ = 1200113111200.

The previous prime is 1200113111123. The next prime is 1200113111203. The reversal of 1200113111201 is 1021113110021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1118517760000 + 81595351201 = 1057600^2 + 285649^2 .

It is an emirp because it is prime and its reverse (1021113110021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1200113111201 - 2¹⁰ = 1200113110177 is a prime.

Together with 1200113111203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1200113111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600056555600 + 600056555601.

It is an arithmetic number, because the mean of its divisors is an integer number (600056555601).

Almost surely, 2^{1200113111201} is an apocalyptic number.

It is an amenable number.

1200113111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200113111201 is an equidigital number, since it uses as much as digits as its factorization.

1200113111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1200113111201 its reverse (1021113110021), we get a palindrome (2221226221222).

The spelling of 1200113111201 in words is "one trillion, two hundred billion, one hundred thirteen million, one hundred eleven thousand, two hundred one".