111101100012121 has 2 divisors, whose sum is σ = 111101100012122. Its totient is φ = 111101100012120.

The previous prime is 111101100012073. The next prime is 111101100012317. The reversal of 111101100012121 is 121210001101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75988791294025 + 35112308718096 = 8717155^2 + 5925564^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101100012121 - 2⁹ = 111101100011609 is a prime.

It is a super-3 number, since 3×111101100012121³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (111101100015121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550550006060 + 55550550006061.

It is an arithmetic number, because the mean of its divisors is an integer number (55550550006061).

Almost surely, 2^{111101100012121} is an apocalyptic number.

It is an amenable number.

111101100012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101100012121 is an equidigital number, since it uses as much as digits as its factorization.

111101100012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111101100012121 its reverse (121210001101111), we get a palindrome (232311101113232).

The spelling of 111101100012121 in words is "one hundred eleven trillion, one hundred one billion, one hundred million, twelve thousand, one hundred twenty-one".