10111011100129 has 2 divisors, whose sum is σ = 10111011100130. Its totient is φ = 10111011100128.

The previous prime is 10111011100097. The next prime is 10111011100163. The reversal of 10111011100129 is 92100111011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8609834799504 + 1501176300625 = 2934252^2 + 1225225^2 .

It is an emirp because it is prime and its reverse (92100111011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111011100129 - 2⁵ = 10111011100097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111011110129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055505550064 + 5055505550065.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505550065).

Almost surely, 2^{10111011100129} is an apocalyptic number.

It is an amenable number.

10111011100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111011100129 is an equidigital number, since it uses as much as digits as its factorization.

10111011100129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 10111011100129 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred thousand, one hundred twenty-nine".