20013102113101 has 2 divisors, whose sum is σ = 20013102113102. Its totient is φ = 20013102113100.

The previous prime is 20013102113027. The next prime is 20013102113113. The reversal of 20013102113101 is 10131120131002.

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., 17102236185225 + 2910865927876 = 4135485^2 + 1706126^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013102113101 - 2⁷ = 20013102112973 is a prime.

It is a super-2 number, since 2×20013102113101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20013102113801) 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, 10006551056550 + 10006551056551.

It is an arithmetic number, because the mean of its divisors is an integer number (10006551056551).

Almost surely, 2^{20013102113101} is an apocalyptic number.

It is an amenable number.

20013102113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013102113101 is an equidigital number, since it uses as much as digits as its factorization.

20013102113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 20013102113101 its reverse (10131120131002), we get a palindrome (30144222244103).

The spelling of 20013102113101 in words is "twenty trillion, thirteen billion, one hundred two million, one hundred thirteen thousand, one hundred one".