210200010112117 has 2 divisors, whose sum is σ = 210200010112118. Its totient is φ = 210200010112116.

The previous prime is 210200010112109. The next prime is 210200010112133. The reversal of 210200010112117 is 711211010002012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158555794507236 + 51644215604881 = 12591894^2 + 7186391^2 .

It is a cyclic number.

It is not a de Polignac number, because 210200010112117 - 2³ = 210200010112109 is a prime.

It is a super-2 number, since 2×210200010112117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210200010112094 and 210200010112103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210200010112187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105100005056058 + 105100005056059.

It is an arithmetic number, because the mean of its divisors is an integer number (105100005056059).

Almost surely, 2^{210200010112117} is an apocalyptic number.

It is an amenable number.

210200010112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210200010112117 is an equidigital number, since it uses as much as digits as its factorization.

210200010112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 210200010112117 its reverse (711211010002012), we get a palindrome (921411020114129).

The spelling of 210200010112117 in words is "two hundred ten trillion, two hundred billion, ten million, one hundred twelve thousand, one hundred seventeen".