10200001002001 has 2 divisors, whose sum is σ = 10200001002002. Its totient is φ = 10200001002000.

The previous prime is 10200001001987. The next prime is 10200001002017. The reversal of 10200001002001 is 10020010000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5246367345025 + 4953633656976 = 2290495^2 + 2225676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200001002001 - 2¹¹ = 10200000999953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200001062001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100000501000 + 5100000501001.

It is an arithmetic number, because the mean of its divisors is an integer number (5100000501001).

Almost surely, 2^{10200001002001} is an apocalyptic number.

It is an amenable number.

10200001002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200001002001 is an equidigital number, since it uses as much as digits as its factorization.

10200001002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10200001002001 its reverse (10020010000201), we get a palindrome (20220011002202).

The spelling of 10200001002001 in words is "ten trillion, two hundred billion, one million, two thousand, one".