2012401112201 has 2 divisors, whose sum is σ = 2012401112202. Its totient is φ = 2012401112200.

The previous prime is 2012401112149. The next prime is 2012401112231. The reversal of 2012401112201 is 1022111042102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1141350355600 + 871050756601 = 1068340^2 + 933301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012401112201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2012401112201.

It is not a weakly prime, because it can be changed into another prime (2012401112231) 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, 1006200556100 + 1006200556101.

It is an arithmetic number, because the mean of its divisors is an integer number (1006200556101).

Almost surely, 2^{2012401112201} is an apocalyptic number.

It is an amenable number.

2012401112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012401112201 is an equidigital number, since it uses as much as digits as its factorization.

2012401112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2012401112201 its reverse (1022111042102), we get a palindrome (3034512154303).

The spelling of 2012401112201 in words is "two trillion, twelve billion, four hundred one million, one hundred twelve thousand, two hundred one".