100101101117 has 2 divisors, whose sum is σ = 100101101118. Its totient is φ = 100101101116.

The previous prime is 100101101059. The next prime is 100101101143. The reversal of 100101101117 is 711101101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77156728441 + 22944372676 = 277771^2 + 151474^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101101117 - 2¹⁶ = 100101035581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101101197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550558 + 50050550559.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550559).

Almost surely, 2^100101101117 is an apocalyptic number.

It is an amenable number.

100101101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101117 is an equidigital number, since it uses as much as digits as its factorization.

100101101117 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 14.

Adding to 100101101117 its reverse (711101101001), we get a palindrome (811202202118).

The spelling of 100101101117 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred seventeen".