10000100011117 has 2 divisors, whose sum is σ = 10000100011118. Its totient is φ = 10000100011116.

The previous prime is 10000100011087. The next prime is 10000100011133. The reversal of 10000100011117 is 71111000100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7232555014281 + 2767544996836 = 2689341^2 + 1663594^2 .

It is an emirp because it is prime and its reverse (71111000100001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000100011117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000100011097 and 10000100011106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000107011117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050005558 + 5000050005559.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050005559).

Almost surely, 2^{10000100011117} is an apocalyptic number.

It is an amenable number.

10000100011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100011117 is an equidigital number, since it uses as much as digits as its factorization.

10000100011117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10000100011117 its reverse (71111000100001), we get a palindrome (81111100111118).

The spelling of 10000100011117 in words is "ten trillion, one hundred million, eleven thousand, one hundred seventeen".