10002001120201 has 2 divisors, whose sum is σ = 10002001120202. Its totient is φ = 10002001120200.

The previous prime is 10002001120169. The next prime is 10002001120261. The reversal of 10002001120201 is 10202110020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9956770039225 + 45231080976 = 3155435^2 + 212676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002001120201 - 2⁵ = 10002001120169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002001120261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000560100 + 5001000560101.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000560101).

Almost surely, 2^{10002001120201} is an apocalyptic number.

It is an amenable number.

10002001120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002001120201 is an equidigital number, since it uses as much as digits as its factorization.

10002001120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002001120201 its reverse (10202110020001), we get a palindrome (20204111140202).

The spelling of 10002001120201 in words is "ten trillion, two billion, one million, one hundred twenty thousand, two hundred one".