10021004221201 has 2 divisors, whose sum is σ = 10021004221202. Its totient is φ = 10021004221200.

The previous prime is 10021004221177. The next prime is 10021004221259. The reversal of 10021004221201 is 10212240012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9129583110400 + 891421110801 = 3021520^2 + 944151^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021004221201 - 2³⁷ = 9883565267729 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021004261201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010502110600 + 5010502110601.

It is an arithmetic number, because the mean of its divisors is an integer number (5010502110601).

Almost surely, 2^{10021004221201} is an apocalyptic number.

It is an amenable number.

10021004221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021004221201 is an equidigital number, since it uses as much as digits as its factorization.

10021004221201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10021004221201 its reverse (10212240012001), we get a palindrome (20233244233202).

The spelling of 10021004221201 in words is "ten trillion, twenty-one billion, four million, two hundred twenty-one thousand, two hundred one".