10200010001 has 2 divisors, whose sum is σ = 10200010002. Its totient is φ = 10200010000.

The previous prime is 10200009961. The next prime is 10200010063. The reversal of 10200010001 is 10001000201.

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., 10040240401 + 159769600 = 100201^2 + 12640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200010001 - 2¹⁰ = 10200008977 is a prime.

It is a super-3 number, since 3×10200010001³ (a number of 31 digits) contains 333 as substring.

10200010001 is a modest number, since divided by 10001 gives 102 as remainder.

It is not a weakly prime, because it can be changed into another prime (10200012001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100005000 + 5100005001.

It is an arithmetic number, because the mean of its divisors is an integer number (5100005001).

Almost surely, 2^10200010001 is an apocalyptic number.

It is an amenable number.

10200010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200010001 is an equidigital number, since it uses as much as digits as its factorization.

10200010001 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 10200010001 its reverse (10001000201), we get a palindrome (20201010202).

The spelling of 10200010001 in words is "ten billion, two hundred million, ten thousand, one".