112121020111013 has 2 divisors, whose sum is σ = 112121020111014. Its totient is φ = 112121020111012.

The previous prime is 112121020110949. The next prime is 112121020111019. The reversal of 112121020111013 is 310111020121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80258359442209 + 31862660668804 = 8958703^2 + 5644702^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121020111013 - 2⁶ = 112121020110949 is a prime.

It is a super-2 number, since 2×112121020111013² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112121020110982 and 112121020111000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121020111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060510055506 + 56060510055507.

It is an arithmetic number, because the mean of its divisors is an integer number (56060510055507).

Almost surely, 2^{112121020111013} is an apocalyptic number.

It is an amenable number.

112121020111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121020111013 is an equidigital number, since it uses as much as digits as its factorization.

112121020111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 112121020111013 its reverse (310111020121211), we get a palindrome (422232040232224).

The spelling of 112121020111013 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty million, one hundred eleven thousand, thirteen".