100101011117 has 2 divisors, whose sum is σ = 100101011118. Its totient is φ = 100101011116.

The previous prime is 100101011093. The next prime is 100101011123. The reversal of 100101011117 is 711110101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68264103076 + 31836908041 = 261274^2 + 178429^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101011117 - 2¹² = 100101007021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101011137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505558 + 50050505559.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505559).

Almost surely, 2^100101011117 is an apocalyptic number.

It is an amenable number.

100101011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101011117 is an equidigital number, since it uses as much as digits as its factorization.

100101011117 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 14.

Adding to 100101011117 its reverse (711110101001), we get a palindrome (811211112118).

The spelling of 100101011117 in words is "one hundred billion, one hundred one million, eleven thousand, one hundred seventeen".