200001000100001 has 2 divisors, whose sum is σ = 200001000100002. Its totient is φ = 200001000100000.

The previous prime is 200001000099961. The next prime is 200001000100009. The reversal of 200001000100001 is 100001000100002.

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., 177232108251025 + 22768891848976 = 13312855^2 + 4771676^2 .

It is a cyclic number.

It is not a de Polignac number, because 200001000100001 - 2²⁶ = 200000932991137 is a prime.

It is not a weakly prime, because it can be changed into another prime (200001000100009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100000500050000 + 100000500050001.

It is an arithmetic number, because the mean of its divisors is an integer number (100000500050001).

Almost surely, 2^{200001000100001} is an apocalyptic number.

It is an amenable number.

200001000100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200001000100001 is an equidigital number, since it uses as much as digits as its factorization.

200001000100001 is an evil number, because the sum of its binary digits is even.

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

Adding to 200001000100001 its reverse (100001000100002), we get a palindrome (300002000200003).

Subtracting from 200001000100001 its reverse (100001000100002), we obtain a palindrome (99999999999999).

The spelling of 200001000100001 in words is "two hundred trillion, one billion, one hundred thousand, one".