10200001221001 has 2 divisors, whose sum is σ = 10200001221002. Its totient is φ = 10200001221000.

The previous prime is 10200001220963. The next prime is 10200001221017. The reversal of 10200001221001 is 10012210000201.

10200001221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10114562515600 + 85438705401 = 3180340^2 + 292299^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200001221001 - 2¹³ = 10200001212809 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200001221061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100000610500 + 5100000610501.

It is an arithmetic number, because the mean of its divisors is an integer number (5100000610501).

Almost surely, 2^{10200001221001} is an apocalyptic number.

It is an amenable number.

10200001221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200001221001 is an equidigital number, since it uses as much as digits as its factorization.

10200001221001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10200001221001 its reverse (10012210000201), we get a palindrome (20212211221202).

The spelling of 10200001221001 in words is "ten trillion, two hundred billion, one million, two hundred twenty-one thousand, one".