201110121007121 has 2 divisors, whose sum is σ = 201110121007122. Its totient is φ = 201110121007120.

The previous prime is 201110121007097. The next prime is 201110121007123. The reversal of 201110121007121 is 121700121011102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200886373086721 + 223747920400 = 14173439^2 + 473020^2 .

It is a cyclic number.

It is not a de Polignac number, because 201110121007121 - 2⁴⁶ = 130741376829457 is a prime.

It is a super-3 number, since 3×201110121007121³ (a number of 44 digits) contains 333 as substring.

Together with 201110121007123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 201110121007093 and 201110121007102.

It is not a weakly prime, because it can be changed into another prime (201110121007123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100555060503560 + 100555060503561.

It is an arithmetic number, because the mean of its divisors is an integer number (100555060503561).

Almost surely, 2^{201110121007121} is an apocalyptic number.

It is an amenable number.

201110121007121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201110121007121 is an equidigital number, since it uses as much as digits as its factorization.

201110121007121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 201110121007121 its reverse (121700121011102), we get a palindrome (322810242018223).

The spelling of 201110121007121 in words is "two hundred one trillion, one hundred ten billion, one hundred twenty-one million, seven thousand, one hundred twenty-one".