111011121110129 has 2 divisors, whose sum is σ = 111011121110130. Its totient is φ = 111011121110128.

The previous prime is 111011121110107. The next prime is 111011121110189. The reversal of 111011121110129 is 921011121110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73402056250000 + 37609064860129 = 8567500^2 + 6132623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111011121110129 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011121110189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505560555064 + 55505560555065.

It is an arithmetic number, because the mean of its divisors is an integer number (55505560555065).

Almost surely, 2^{111011121110129} is an apocalyptic number.

It is an amenable number.

111011121110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011121110129 is an equidigital number, since it uses as much as digits as its factorization.

111011121110129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 23.

The spelling of 111011121110129 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty-nine".