100112200010117 has 2 divisors, whose sum is σ = 100112200010118. Its totient is φ = 100112200010116.

The previous prime is 100112200010089. The next prime is 100112200010131. The reversal of 100112200010117 is 711010002211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92955938345956 + 7156261664161 = 9641366^2 + 2675119^2 .

It is an emirp because it is prime and its reverse (711010002211001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112200010117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112200010095 and 100112200010104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112200010717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056100005058 + 50056100005059.

It is an arithmetic number, because the mean of its divisors is an integer number (50056100005059).

Almost surely, 2^{100112200010117} is an apocalyptic number.

It is an amenable number.

100112200010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112200010117 is an equidigital number, since it uses as much as digits as its factorization.

100112200010117 is an evil number, because the sum of its binary digits is even.

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

Adding to 100112200010117 its reverse (711010002211001), we get a palindrome (811122202221118).

The spelling of 100112200010117 in words is "one hundred trillion, one hundred twelve billion, two hundred million, ten thousand, one hundred seventeen".