201012100200001 has 2 divisors, whose sum is σ = 201012100200002. Its totient is φ = 201012100200000.

The previous prime is 201012100199941. The next prime is 201012100200157. The reversal of 201012100200001 is 100002001210102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172134373760001 + 28877726440000 = 13119999^2 + 5373800^2 .

It is a cyclic number.

It is not a de Polignac number, because 201012100200001 - 2⁷ = 201012100199873 is a prime.

It is not a weakly prime, because it can be changed into another prime (201012100200701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506050100000 + 100506050100001.

It is an arithmetic number, because the mean of its divisors is an integer number (100506050100001).

Almost surely, 2^{201012100200001} is an apocalyptic number.

It is an amenable number.

201012100200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201012100200001 is an equidigital number, since it uses as much as digits as its factorization.

201012100200001 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 201012100200001 its reverse (100002001210102), we get a palindrome (301014101410103).

The spelling of 201012100200001 in words is "two hundred one trillion, twelve billion, one hundred million, two hundred thousand, one".