100000100011117 has 2 divisors, whose sum is σ = 100000100011118. Its totient is φ = 100000100011116.

The previous prime is 100000100011079. The next prime is 100000100011121. The reversal of 100000100011117 is 711110001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88162447344196 + 11837652666921 = 9389486^2 + 3440589^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100011117 - 2⁷ = 100000100010989 is a prime.

It is a super-3 number, since 3×100000100011117³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000100011097 and 100000100011106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000100411117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050005558 + 50000050005559.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050005559).

Almost surely, 2^{100000100011117} is an apocalyptic number.

It is an amenable number.

100000100011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100011117 is an equidigital number, since it uses as much as digits as its factorization.

100000100011117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100000100011117 its reverse (711110001000001), we get a palindrome (811110101011118).

The spelling of 100000100011117 in words is "one hundred trillion, one hundred million, eleven thousand, one hundred seventeen".