100018000810201 has 2 divisors, whose sum is σ = 100018000810202. Its totient is φ = 100018000810200.

The previous prime is 100018000810199. The next prime is 100018000810207. The reversal of 100018000810201 is 102018000810001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86344534814976 + 13673465995225 = 9292176^2 + 3697765^2 .

It is a cyclic number.

It is not a de Polignac number, because 100018000810201 - 2¹ = 100018000810199 is a prime.

Together with 100018000810199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100018000810207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50009000405100 + 50009000405101.

It is an arithmetic number, because the mean of its divisors is an integer number (50009000405101).

Almost surely, 2^{100018000810201} is an apocalyptic number.

It is an amenable number.

100018000810201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100018000810201 is an equidigital number, since it uses as much as digits as its factorization.

100018000810201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 100018000810201 in words is "one hundred trillion, eighteen billion, eight hundred ten thousand, two hundred one".