10021120011029 has 2 divisors, whose sum is σ = 10021120011030. Its totient is φ = 10021120011028.

The previous prime is 10021120011011. The next prime is 10021120011083. The reversal of 10021120011029 is 92011002112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9910565091025 + 110554920004 = 3148105^2 + 332498^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021120011029 - 2²⁰ = 10021118962453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021120011029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021120013029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010560005514 + 5010560005515.

It is an arithmetic number, because the mean of its divisors is an integer number (5010560005515).

Almost surely, 2^{10021120011029} is an apocalyptic number.

It is an amenable number.

10021120011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021120011029 is an equidigital number, since it uses as much as digits as its factorization.

10021120011029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10021120011029 in words is "ten trillion, twenty-one billion, one hundred twenty million, eleven thousand, twenty-nine".