10021020013001 has 2 divisors, whose sum is σ = 10021020013002. Its totient is φ = 10021020013000.

The previous prime is 10021020012967. The next prime is 10021020013009. The reversal of 10021020013001 is 10031002012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10007725923001 + 13294090000 = 3163499^2 + 115300^2 .

It is an emirp because it is prime and its reverse (10031002012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021020013001 - 2¹⁸ = 10021019750857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021020013009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010510006500 + 5010510006501.

It is an arithmetic number, because the mean of its divisors is an integer number (5010510006501).

Almost surely, 2^{10021020013001} is an apocalyptic number.

It is an amenable number.

10021020013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021020013001 is an equidigital number, since it uses as much as digits as its factorization.

10021020013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10021020013001 its reverse (10031002012001), we get a palindrome (20052022025002).

The spelling of 10021020013001 in words is "ten trillion, twenty-one billion, twenty million, thirteen thousand, one".