100200101200201 has 2 divisors, whose sum is σ = 100200101200202. Its totient is φ = 100200101200200.

The previous prime is 100200101200091. The next prime is 100200101200223. The reversal of 100200101200201 is 102002101002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99691338548025 + 508762652176 = 9984555^2 + 713276^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200101200201 - 2²⁷ = 100199966982473 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200101204201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100050600100 + 50100050600101.

It is an arithmetic number, because the mean of its divisors is an integer number (50100050600101).

Almost surely, 2^{100200101200201} is an apocalyptic number.

It is an amenable number.

100200101200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200101200201 is an equidigital number, since it uses as much as digits as its factorization.

100200101200201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200101200201 its reverse (102002101002001), we get a palindrome (202202202202202).

The spelling of 100200101200201 in words is "one hundred trillion, two hundred billion, one hundred one million, two hundred thousand, two hundred one".