10200001001 has 2 divisors, whose sum is σ = 10200001002. Its totient is φ = 10200001000.

The previous prime is 10200000961. The next prime is 10200001039. The reversal of 10200001001 is 10010000201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9307425625 + 892575376 = 96475^2 + 29876^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200001001 - 2²⁶ = 10132892137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200001081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100000500 + 5100000501.

It is an arithmetic number, because the mean of its divisors is an integer number (5100000501).

Almost surely, 2^10200001001 is an apocalyptic number.

It is an amenable number.

10200001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200001001 is an equidigital number, since it uses as much as digits as its factorization.

10200001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10200001001 its reverse (10010000201), we get a palindrome (20210001202).

The spelling of 10200001001 in words is "ten billion, two hundred million, one thousand, one".