201011121110113 has 2 divisors, whose sum is σ = 201011121110114. Its totient is φ = 201011121110112.

The previous prime is 201011121110089. The next prime is 201011121110143. The reversal of 201011121110113 is 311011121110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131432283929664 + 69578837180449 = 11464392^2 + 8341393^2 .

It is a cyclic number.

It is not a de Polignac number, because 201011121110113 - 2³³ = 201002531175521 is a prime.

It is a super-2 number, since 2×201011121110113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201011121110143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505560555056 + 100505560555057.

It is an arithmetic number, because the mean of its divisors is an integer number (100505560555057).

Almost surely, 2^{201011121110113} is an apocalyptic number.

It is an amenable number.

201011121110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011121110113 is an equidigital number, since it uses as much as digits as its factorization.

201011121110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 201011121110113 its reverse (311011121110102), we get a palindrome (512022242220215).

The spelling of 201011121110113 in words is "two hundred one trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred thirteen".