111011001110129 has 2 divisors, whose sum is σ = 111011001110130. Its totient is φ = 111011001110128.

The previous prime is 111011001109961. The next prime is 111011001110179. The reversal of 111011001110129 is 921011100110111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107572720962529 + 3438280147600 = 10371727^2 + 1854260^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011001110129 - 2²⁰ = 111011000061553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111011001110129.

It is not a weakly prime, because it can be changed into another prime (111011001110179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505500555064 + 55505500555065.

It is an arithmetic number, because the mean of its divisors is an integer number (55505500555065).

Almost surely, 2^{111011001110129} is an apocalyptic number.

It is an amenable number.

111011001110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011001110129 is an equidigital number, since it uses as much as digits as its factorization.

111011001110129 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 111011001110129 in words is "one hundred eleven trillion, eleven billion, one million, one hundred ten thousand, one hundred twenty-nine".