11762205107201 has 2 divisors, whose sum is σ = 11762205107202. Its totient is φ = 11762205107200.

The previous prime is 11762205107057. The next prime is 11762205107221. The reversal of 11762205107201 is 10270150226711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11243011363600 + 519193743601 = 3353060^2 + 720551^2 .

It is a cyclic number.

It is not a de Polignac number, because 11762205107201 - 2¹⁴ = 11762205090817 is a prime.

It is not a weakly prime, because it can be changed into another prime (11762205107221) 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, 5881102553600 + 5881102553601.

It is an arithmetic number, because the mean of its divisors is an integer number (5881102553601).

Almost surely, 2^{11762205107201} is an apocalyptic number.

It is an amenable number.

11762205107201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11762205107201 is an equidigital number, since it uses as much as digits as its factorization.

11762205107201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 11762205107201 in words is "eleven trillion, seven hundred sixty-two billion, two hundred five million, one hundred seven thousand, two hundred one".