10022001201013 has 12 divisors (see below), whose sum is σ = 10373920709580. Its totient is φ = 9681665125440.

The previous prime is 10022001200947. The next prime is 10022001201061. The reversal of 10022001201013 is 31010210022001.

It can be written as a sum of positive squares in 2 ways, for example, as 4516891588804 + 5505109612209 = 2125298^2 + 2346297^2 .

It is not a de Polignac number, because 10022001201013 - 2¹³ = 10022001192821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022001200984 and 10022001201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022001201613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8617270 + ... + 9710887.

It is an arithmetic number, because the mean of its divisors is an integer number (864493392465).

Almost surely, 2^{10022001201013} is an apocalyptic number.

It is an amenable number.

10022001201013 is a deficient number, since it is larger than the sum of its proper divisors (351919508567).

10022001201013 is an equidigital number, since it uses as much as digits as its factorization.

10022001201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328788 (or 18328757 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10022001201013 its reverse (31010210022001), we get a palindrome (41032211223014).

The spelling of 10022001201013 in words is "ten trillion, twenty-two billion, one million, two hundred one thousand, thirteen".