10021002221029 has 2 divisors, whose sum is σ = 10021002221030. Its totient is φ = 10021002221028.

The previous prime is 10021002220963. The next prime is 10021002221059. The reversal of 10021002221029 is 92012220012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9788294390625 + 232707830404 = 3128625^2 + 482398^2 .

It is an emirp because it is prime and its reverse (92012220012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021002221029 - 2¹⁷ = 10021002089957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021002221059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010501110514 + 5010501110515.

It is an arithmetic number, because the mean of its divisors is an integer number (5010501110515).

Almost surely, 2^{10021002221029} is an apocalyptic number.

It is an amenable number.

10021002221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021002221029 is an equidigital number, since it uses as much as digits as its factorization.

10021002221029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10021002221029 in words is "ten trillion, twenty-one billion, two million, two hundred twenty-one thousand, twenty-nine".