211101120201113 has 2 divisors, whose sum is σ = 211101120201114. Its totient is φ = 211101120201112.

The previous prime is 211101120201073. The next prime is 211101120201161. The reversal of 211101120201113 is 311102021101112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209436844756489 + 1664275444624 = 14471933^2 + 1290068^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101120201113 - 2¹² = 211101120197017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211101120201091 and 211101120201100.

It is not a weakly prime, because it can be changed into another prime (211101120201173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550560100556 + 105550560100557.

It is an arithmetic number, because the mean of its divisors is an integer number (105550560100557).

Almost surely, 2^{211101120201113} is an apocalyptic number.

It is an amenable number.

211101120201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101120201113 is an equidigital number, since it uses as much as digits as its factorization.

211101120201113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 211101120201113 its reverse (311102021101112), we get a palindrome (522203141302225).

The spelling of 211101120201113 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty million, two hundred one thousand, one hundred thirteen".