10011011121029 has 2 divisors, whose sum is σ = 10011011121030. Its totient is φ = 10011011121028.

The previous prime is 10011011120969. The next prime is 10011011121151. The reversal of 10011011121029 is 92012111011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9851971276225 + 159039844804 = 3138785^2 + 398798^2 .

It is an emirp because it is prime and its reverse (92012111011001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011011121029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011011121029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011011181029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005505560514 + 5005505560515.

It is an arithmetic number, because the mean of its divisors is an integer number (5005505560515).

Almost surely, 2^{10011011121029} is an apocalyptic number.

It is an amenable number.

10011011121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011011121029 is an equidigital number, since it uses as much as digits as its factorization.

10011011121029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 10011011121029 in words is "ten trillion, eleven billion, eleven million, one hundred twenty-one thousand, twenty-nine".