111101110010129 has 2 divisors, whose sum is σ = 111101110010130. Its totient is φ = 111101110010128.

The previous prime is 111101110010083. The next prime is 111101110010197. The reversal of 111101110010129 is 921010011101111.

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., 71478113707729 + 39622996302400 = 8454473^2 + 6294680^2 .

It is an emirp because it is prime and its reverse (921010011101111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111101110010129 - 2²⁸ = 111100841574673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101110010129.

It is not a weakly prime, because it can be changed into another prime (111101110010029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555005064 + 55550555005065.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555005065).

Almost surely, 2^{111101110010129} is an apocalyptic number.

It is an amenable number.

111101110010129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101110010129 is an equidigital number, since it uses as much as digits as its factorization.

111101110010129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 111101110010129 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, ten thousand, one hundred twenty-nine".