121101111013 has 2 divisors, whose sum is σ = 121101111014. Its totient is φ = 121101111012.

The previous prime is 121101111011. The next prime is 121101111029. The reversal of 121101111013 is 310111101121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90797960929 + 30303150084 = 301327^2 + 174078^2 .

It is a cyclic number.

It is not a de Polignac number, because 121101111013 - 2¹ = 121101111011 is a prime.

Together with 121101111011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 121101110984 and 121101111002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121101111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550555506 + 60550555507.

It is an arithmetic number, because the mean of its divisors is an integer number (60550555507).

Almost surely, 2^121101111013 is an apocalyptic number.

It is an amenable number.

121101111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101111013 is an equidigital number, since it uses as much as digits as its factorization.

121101111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 121101111013 its reverse (310111101121), we get a palindrome (431212212134).

The spelling of 121101111013 in words is "one hundred twenty-one billion, one hundred one million, one hundred eleven thousand, thirteen".