100201020020117 has 2 divisors, whose sum is σ = 100201020020118. Its totient is φ = 100201020020116.

The previous prime is 100201020020111. The next prime is 100201020020221. The reversal of 100201020020117 is 711020020102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99075566376241 + 1125453643876 = 9953671^2 + 1060874^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201020020117 - 2⁸ = 100201020019861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201020020095 and 100201020020104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201020020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100510010058 + 50100510010059.

It is an arithmetic number, because the mean of its divisors is an integer number (50100510010059).

Almost surely, 2^{100201020020117} is an apocalyptic number.

It is an amenable number.

100201020020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201020020117 is an equidigital number, since it uses as much as digits as its factorization.

100201020020117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100201020020117 its reverse (711020020102001), we get a palindrome (811221040122118).

The spelling of 100201020020117 in words is "one hundred trillion, two hundred one billion, twenty million, twenty thousand, one hundred seventeen".