10001012010221 has 8 divisors (see below), whose sum is σ = 10181545386264. Its totient is φ = 9821013549120.

The previous prime is 10001012010217. The next prime is 10001012010229. The reversal of 10001012010221 is 12201021010001.

It can be written as a sum of positive squares in 4 ways, for example, as 133089254596 + 9867922755625 = 364814^2 + 3141325^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001012010221 - 2² = 10001012010217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012010229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133691006 + ... + 133765791.

It is an arithmetic number, because the mean of its divisors is an integer number (1272693173283).

Almost surely, 2^{10001012010221} is an apocalyptic number.

It is an amenable number.

10001012010221 is a deficient number, since it is larger than the sum of its proper divisors (180533376043).

10001012010221 is an equidigital number, since it uses as much as digits as its factorization.

10001012010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267457471.

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

Adding to 10001012010221 its reverse (12201021010001), we get a palindrome (22202033020222).

The spelling of 10001012010221 in words is "ten trillion, one billion, twelve million, ten thousand, two hundred twenty-one".