201020332123201 has 2 divisors, whose sum is σ = 201020332123202. Its totient is φ = 201020332123200.

The previous prime is 201020332123199. The next prime is 201020332123267. The reversal of 201020332123201 is 102321233020102.

201020332123201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180195721690000 + 20824610433201 = 13423700^2 + 4563399^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020332123201 - 2¹ = 201020332123199 is a prime.

Together with 201020332123199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (201020332123271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100510166061600 + 100510166061601.

It is an arithmetic number, because the mean of its divisors is an integer number (100510166061601).

Almost surely, 2^{201020332123201} is an apocalyptic number.

It is an amenable number.

201020332123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201020332123201 is an equidigital number, since it uses as much as digits as its factorization.

201020332123201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 201020332123201 its reverse (102321233020102), we get a palindrome (303341565143303).

The spelling of 201020332123201 in words is "two hundred one trillion, twenty billion, three hundred thirty-two million, one hundred twenty-three thousand, two hundred one".