111200201212129 has 2 divisors, whose sum is σ = 111200201212130. Its totient is φ = 111200201212128.

The previous prime is 111200201212039. The next prime is 111200201212147. The reversal of 111200201212129 is 921212102002111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65804300640225 + 45395900571904 = 8111985^2 + 6737648^2 .

It is a cyclic number.

It is not a de Polignac number, because 111200201212129 - 2¹³ = 111200201203937 is a prime.

It is not a weakly prime, because it can be changed into another prime (111200231212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600100606064 + 55600100606065.

It is an arithmetic number, because the mean of its divisors is an integer number (55600100606065).

Almost surely, 2^{111200201212129} is an apocalyptic number.

It is an amenable number.

111200201212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111200201212129 is an equidigital number, since it uses as much as digits as its factorization.

111200201212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 111200201212129 in words is "one hundred eleven trillion, two hundred billion, two hundred one million, two hundred twelve thousand, one hundred twenty-nine".