2101110020117 has 2 divisors, whose sum is σ = 2101110020118. Its totient is φ = 2101110020116.

The previous prime is 2101110020069. The next prime is 2101110020143. The reversal of 2101110020117 is 7110200111012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2010295786801 + 90814233316 = 1417849^2 + 301354^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101110020117 - 2¹² = 2101110016021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101110020095 and 2101110020104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101110070117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050555010058 + 1050555010059.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555010059).

Almost surely, 2^{2101110020117} is an apocalyptic number.

It is an amenable number.

2101110020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101110020117 is an equidigital number, since it uses as much as digits as its factorization.

2101110020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 2101110020117 its reverse (7110200111012), we get a palindrome (9211310131129).

The spelling of 2101110020117 in words is "two trillion, one hundred one billion, one hundred ten million, twenty thousand, one hundred seventeen".