201200121101201 has 2 divisors, whose sum is σ = 201200121101202. Its totient is φ = 201200121101200.

The previous prime is 201200121101167. The next prime is 201200121101257. The reversal of 201200121101201 is 102101121002102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118366022548225 + 82834098552976 = 10879615^2 + 9101324^2 .

It is a cyclic number.

It is not a de Polignac number, because 201200121101201 - 2³⁸ = 200925243194257 is a prime.

It is a super-2 number, since 2×201200121101201² (a number of 29 digits) contains 22 as substring.

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 (201200121101261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100600060550600 + 100600060550601.

It is an arithmetic number, because the mean of its divisors is an integer number (100600060550601).

Almost surely, 2^{201200121101201} is an apocalyptic number.

It is an amenable number.

201200121101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201200121101201 is an equidigital number, since it uses as much as digits as its factorization.

201200121101201 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 201200121101201 its reverse (102101121002102), we get a palindrome (303301242103303).

Subtracting from 201200121101201 its reverse (102101121002102), we obtain a palindrome (99099000099099).

The spelling of 201200121101201 in words is "two hundred one trillion, two hundred billion, one hundred twenty-one million, one hundred one thousand, two hundred one".