200201012100101 has 2 divisors, whose sum is σ = 200201012100102. Its totient is φ = 200201012100100.

The previous prime is 200201012100049. The next prime is 200201012100149. The reversal of 200201012100101 is 101001210102002.

200201012100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108454020343876 + 91746991756225 = 10414126^2 + 9578465^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201012100101 - 2³⁸ = 199926134193157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201012100701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100506050050 + 100100506050051.

It is an arithmetic number, because the mean of its divisors is an integer number (100100506050051).

Almost surely, 2^{200201012100101} is an apocalyptic number.

It is an amenable number.

200201012100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201012100101 is an equidigital number, since it uses as much as digits as its factorization.

200201012100101 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 11.

Adding to 200201012100101 its reverse (101001210102002), we get a palindrome (301202222202103).

The spelling of 200201012100101 in words is "two hundred trillion, two hundred one billion, twelve million, one hundred thousand, one hundred one".