10018735110121 has 2 divisors, whose sum is σ = 10018735110122. Its totient is φ = 10018735110120.

The previous prime is 10018735110061. The next prime is 10018735110149. The reversal of 10018735110121 is 12101153781001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9847897554496 + 170837555625 = 3138136^2 + 413325^2 .

It is a cyclic number.

It is not a de Polignac number, because 10018735110121 - 2¹⁷ = 10018734979049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10018735110521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5009367555060 + 5009367555061.

It is an arithmetic number, because the mean of its divisors is an integer number (5009367555061).

Almost surely, 2^{10018735110121} is an apocalyptic number.

It is an amenable number.

10018735110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10018735110121 is an equidigital number, since it uses as much as digits as its factorization.

10018735110121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 31.

Adding to 10018735110121 its reverse (12101153781001), we get a palindrome (22119888891122).

The spelling of 10018735110121 in words is "ten trillion, eighteen billion, seven hundred thirty-five million, one hundred ten thousand, one hundred twenty-one".