10201111121 has 2 divisors, whose sum is σ = 10201111122. Its totient is φ = 10201111120.

The previous prime is 10201111111. The next prime is 10201111163. The reversal of 10201111121 is 12111110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9022150225 + 1178960896 = 94985^2 + 34336^2 .

It is an emirp because it is prime and its reverse (12111110201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201111121 - 2²⁶ = 10134002257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100555560 + 5100555561.

It is an arithmetic number, because the mean of its divisors is an integer number (5100555561).

Almost surely, 2^10201111121 is an apocalyptic number.

It is an amenable number.

10201111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201111121 is an equidigital number, since it uses as much as digits as its factorization.

10201111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10201111121 its reverse (12111110201), we get a palindrome (22312221322).

The spelling of 10201111121 in words is "ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".