10022101009 has 2 divisors, whose sum is σ = 10022101010. Its totient is φ = 10022101008.

The previous prime is 10022101007. The next prime is 10022101043. The reversal of 10022101009 is 90010122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9336970384 + 685130625 = 96628^2 + 26175^2 .

It is an emirp because it is prime and its reverse (90010122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022101009 - 2¹ = 10022101007 is a prime.

Together with 10022101007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10022100983 and 10022101001.

It is not a weakly prime, because it can be changed into another prime (10022101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011050504 + 5011050505.

It is an arithmetic number, because the mean of its divisors is an integer number (5011050505).

Almost surely, 2^10022101009 is an apocalyptic number.

It is an amenable number.

10022101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022101009 is an equidigital number, since it uses as much as digits as its factorization.

10022101009 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 16.

The spelling of 10022101009 in words is "ten billion, twenty-two million, one hundred one thousand, nine".