11010101321129 has 2 divisors, whose sum is σ = 11010101321130. Its totient is φ = 11010101321128.

The previous prime is 11010101321117. The next prime is 11010101321161. The reversal of 11010101321129 is 92112310101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7666103925529 + 3343997395600 = 2768773^2 + 1828660^2 .

It is an emirp because it is prime and its reverse (92112310101011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11010101321129 is a prime.

It is a super-2 number, since 2×11010101321129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11010101321029) 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, 5505050660564 + 5505050660565.

It is an arithmetic number, because the mean of its divisors is an integer number (5505050660565).

Almost surely, 2^{11010101321129} is an apocalyptic number.

It is an amenable number.

11010101321129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010101321129 is an equidigital number, since it uses as much as digits as its factorization.

11010101321129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

The spelling of 11010101321129 in words is "eleven trillion, ten billion, one hundred one million, three hundred twenty-one thousand, one hundred twenty-nine".