111100010101121 has 2 divisors, whose sum is σ = 111100010101122. Its totient is φ = 111100010101120.

The previous prime is 111100010101079. The next prime is 111100010101189. The reversal of 111100010101121 is 121101010001111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97834571370496 + 13265438730625 = 9891136^2 + 3642175^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100010101121 - 2⁶ = 111100010101057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111100010106121) 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, 55550005050560 + 55550005050561.

It is an arithmetic number, because the mean of its divisors is an integer number (55550005050561).

Almost surely, 2^{111100010101121} is an apocalyptic number.

It is an amenable number.

111100010101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100010101121 is an equidigital number, since it uses as much as digits as its factorization.

111100010101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111100010101121 its reverse (121101010001111), we get a palindrome (232201020102232).

The spelling of 111100010101121 in words is "one hundred eleven trillion, one hundred billion, ten million, one hundred one thousand, one hundred twenty-one".