10000200210001 has 2 divisors, whose sum is σ = 10000200210002. Its totient is φ = 10000200210000.

The previous prime is 10000200209969. The next prime is 10000200210031. The reversal of 10000200210001 is 10001200200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7330832417601 + 2669367792400 = 2707551^2 + 1633820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000200210001 - 2⁵ = 10000200209969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000200210031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000100105000 + 5000100105001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000100105001).

Almost surely, 2^{10000200210001} is an apocalyptic number.

It is an amenable number.

10000200210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000200210001 is an equidigital number, since it uses as much as digits as its factorization.

10000200210001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10000200210001 its reverse (10001200200001), we get a palindrome (20001400410002).

The spelling of 10000200210001 in words is "ten trillion, two hundred million, two hundred ten thousand, one".