10211220321001 has 6 divisors (see below), whose sum is σ = 11878358332650. Its totient is φ = 8752474560816.

The previous prime is 10211220320969. The next prime is 10211220321017. The reversal of 10211220321001 is 10012302211201.

10211220321001 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 only one way, i.e., 9282386983401 + 928833337600 = 3046701^2 + 963760^2 .

It is not a de Polignac number, because 10211220321001 - 2⁵ = 10211220320969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211220321031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104196125676 + ... + 104196125773.

It is an arithmetic number, because the mean of its divisors is an integer number (1979726388775).

Almost surely, 2^{10211220321001} is an apocalyptic number.

It is an amenable number.

10211220321001 is a deficient number, since it is larger than the sum of its proper divisors (1667138011649).

10211220321001 is an equidigital number, since it uses as much as digits as its factorization.

10211220321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208392251463 (or 208392251456 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10211220321001 its reverse (10012302211201), we get a palindrome (20223522532202).

The spelling of 10211220321001 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, three hundred twenty-one thousand, one".