101011000111117 has 2 divisors, whose sum is σ = 101011000111118. Its totient is φ = 101011000111116.

The previous prime is 101011000111079. The next prime is 101011000111127. The reversal of 101011000111117 is 711111000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89755652810916 + 11255347300201 = 9473946^2 + 3354899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011000111117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011000111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011000111127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500055558 + 50505500055559.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500055559).

Almost surely, 2^{101011000111117} is an apocalyptic number.

It is an amenable number.

101011000111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000111117 is an equidigital number, since it uses as much as digits as its factorization.

101011000111117 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 16.

Adding to 101011000111117 its reverse (711111000110101), we get a palindrome (812122000221218).

The spelling of 101011000111117 in words is "one hundred one trillion, eleven billion, one hundred eleven thousand, one hundred seventeen".