10002021220201 has 2 divisors, whose sum is σ = 10002021220202. Its totient is φ = 10002021220200.

The previous prime is 10002021220199. The next prime is 10002021220229. The reversal of 10002021220201 is 10202212020001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6955477880976 + 3046543339225 = 2637324^2 + 1745435^2 .

It is an emirp because it is prime and its reverse (10202212020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002021220201 - 2¹ = 10002021220199 is a prime.

It is a super-2 number, since 2×10002021220201² (a number of 27 digits) contains 22 as substring.

Together with 10002021220199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002021220241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001010610100 + 5001010610101.

It is an arithmetic number, because the mean of its divisors is an integer number (5001010610101).

Almost surely, 2^{10002021220201} is an apocalyptic number.

It is an amenable number.

10002021220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002021220201 is an equidigital number, since it uses as much as digits as its factorization.

10002021220201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002021220201 its reverse (10202212020001), we get a palindrome (20204233240202).

The spelling of 10002021220201 in words is "ten trillion, two billion, twenty-one million, two hundred twenty thousand, two hundred one".