20112012101201 has 2 divisors, whose sum is σ = 20112012101202. Its totient is φ = 20112012101200.

The previous prime is 20112012101191. The next prime is 20112012101213. The reversal of 20112012101201 is 10210121021102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20076215461201 + 35796640000 = 4480649^2 + 189200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20112012101201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20112012101221) 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, 10056006050600 + 10056006050601.

It is an arithmetic number, because the mean of its divisors is an integer number (10056006050601).

Almost surely, 2^{20112012101201} is an apocalyptic number.

It is an amenable number.

20112012101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112012101201 is an equidigital number, since it uses as much as digits as its factorization.

20112012101201 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 14.

Adding to 20112012101201 its reverse (10210121021102), we get a palindrome (30322133122303).

The spelling of 20112012101201 in words is "twenty trillion, one hundred twelve billion, twelve million, one hundred one thousand, two hundred one".