201110121001 has 2 divisors, whose sum is σ = 201110121002. Its totient is φ = 201110121000.

The previous prime is 201110120917. The next prime is 201110121007. The reversal of 201110121001 is 100121011102.

201110121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189661121001 + 11449000000 = 435501^2 + 107000^2 .

It is a cyclic number.

It is not a de Polignac number, because 201110121001 - 2¹⁷ = 201109989929 is a prime.

It is a super-2 number, since 2×201110121001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201110121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100555060500 + 100555060501.

It is an arithmetic number, because the mean of its divisors is an integer number (100555060501).

Almost surely, 2^201110121001 is an apocalyptic number.

It is an amenable number.

201110121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201110121001 is an equidigital number, since it uses as much as digits as its factorization.

201110121001 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 10.

Adding to 201110121001 its reverse (100121011102), we get a palindrome (301231132103).

The spelling of 201110121001 in words is "two hundred one billion, one hundred ten million, one hundred twenty-one thousand, one".