110121200100013 has 2 divisors, whose sum is σ = 110121200100014. Its totient is φ = 110121200100012.

The previous prime is 110121200099959. The next prime is 110121200100019. The reversal of 110121200100013 is 310001002121011.

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., 59270566792644 + 50850633307369 = 7698738^2 + 7130963^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121200100013 - 2³⁷ = 109983761146541 is a prime.

It is a super-2 number, since 2×110121200100013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110121200099966 and 110121200100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110121200100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060600050006 + 55060600050007.

It is an arithmetic number, because the mean of its divisors is an integer number (55060600050007).

Almost surely, 2^{110121200100013} is an apocalyptic number.

It is an amenable number.

110121200100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121200100013 is an equidigital number, since it uses as much as digits as its factorization.

110121200100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 110121200100013 its reverse (310001002121011), we get a palindrome (420122202221024).

The spelling of 110121200100013 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred million, one hundred thousand, thirteen".