121100111113 has 2 divisors, whose sum is σ = 121100111114. Its totient is φ = 121100111112.

The previous prime is 121100111081. The next prime is 121100111117. The reversal of 121100111113 is 311111001121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118228008649 + 2872102464 = 343843^2 + 53592^2 .

It is a cyclic number.

It is not a de Polignac number, because 121100111113 - 2⁵ = 121100111081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121100111093 and 121100111102.

It is not a weakly prime, because it can be changed into another prime (121100111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550055556 + 60550055557.

It is an arithmetic number, because the mean of its divisors is an integer number (60550055557).

Almost surely, 2^121100111113 is an apocalyptic number.

It is an amenable number.

121100111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100111113 is an equidigital number, since it uses as much as digits as its factorization.

121100111113 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 121100111113 its reverse (311111001121), we get a palindrome (432211112234).

The spelling of 121100111113 in words is "one hundred twenty-one billion, one hundred million, one hundred eleven thousand, one hundred thirteen".