10200200201 has 2 divisors, whose sum is σ = 10200200202. Its totient is φ = 10200200200.

The previous prime is 10200200159. The next prime is 10200200221.

10200200201 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9044200201 + 1156000000 = 95101^2 + 34000^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200200201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100100100 + 5100100101.

It is an arithmetic number, because the mean of its divisors is an integer number (5100100101).

Almost surely, 2^10200200201 is an apocalyptic number.

It is an amenable number.

10200200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200200201 is an equidigital number, since it uses as much as digits as its factorization.

10200200201 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 8.

The spelling of 10200200201 in words is "ten billion, two hundred million, two hundred thousand, two hundred one".