10001120010221 has 12 divisors (see below), whose sum is σ = 10398181408212. Its totient is φ = 9618680623104.

The previous prime is 10001120010179. The next prime is 10001120010251. The reversal of 10001120010221 is 12201002110001.

10001120010221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3441062100100 + 6560057910121 = 1855010^2 + 2561261^2 .

It is not a de Polignac number, because 10001120010221 - 2³⁰ = 10000046268397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120010251) 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, 22919930 + ... + 23352203.

It is an arithmetic number, because the mean of its divisors is an integer number (866515117351).

Almost surely, 2^{10001120010221} is an apocalyptic number.

It is an amenable number.

10001120010221 is a deficient number, since it is larger than the sum of its proper divisors (397061397991).

10001120010221 is an equidigital number, since it uses as much as digits as its factorization.

10001120010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46272448 (or 46272419 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001120010221 its reverse (12201002110001), we get a palindrome (22202122120222).

The spelling of 10001120010221 in words is "ten trillion, one billion, one hundred twenty million, ten thousand, two hundred twenty-one".