201121101112201 has 2 divisors, whose sum is σ = 201121101112202. Its totient is φ = 201121101112200.

The previous prime is 201121101112177. The next prime is 201121101112207. The reversal of 201121101112201 is 102211101121102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101426068244601 + 99695032867600 = 10071051^2 + 9984740^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121101112201 - 2²⁷ = 201120966894473 is a prime.

It is not a weakly prime, because it can be changed into another prime (201121101112207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560550556100 + 100560550556101.

It is an arithmetic number, because the mean of its divisors is an integer number (100560550556101).

Almost surely, 2^{201121101112201} is an apocalyptic number.

It is an amenable number.

201121101112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121101112201 is an equidigital number, since it uses as much as digits as its factorization.

201121101112201 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 16.

Adding to 201121101112201 its reverse (102211101121102), we get a palindrome (303332202233303).

The spelling of 201121101112201 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, two hundred one".