10001100202201 has 2 divisors, whose sum is σ = 10001100202202. Its totient is φ = 10001100202200.

The previous prime is 10001100202193. The next prime is 10001100202217. The reversal of 10001100202201 is 10220200110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9948826238976 + 52273963225 = 3154176^2 + 228635^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100202201 - 2³ = 10001100202193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001100202231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550101100 + 5000550101101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550101101).

Almost surely, 2^{10001100202201} is an apocalyptic number.

It is an amenable number.

10001100202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100202201 is an equidigital number, since it uses as much as digits as its factorization.

10001100202201 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 10.

Adding to 10001100202201 its reverse (10220200110001), we get a palindrome (20221300312202).

The spelling of 10001100202201 in words is "ten trillion, one billion, one hundred million, two hundred two thousand, two hundred one".