101000111011117 has 2 divisors, whose sum is σ = 101000111011118. Its totient is φ = 101000111011116.

The previous prime is 101000111010983. The next prime is 101000111011187. The reversal of 101000111011117 is 711110111000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100722781333476 + 277329677641 = 10036074^2 + 526621^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000111011117 - 2⁴³ = 92204017988909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000111011117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000111011187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055505558 + 50500055505559.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055505559).

Almost surely, 2^{101000111011117} is an apocalyptic number.

It is an amenable number.

101000111011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000111011117 is an equidigital number, since it uses as much as digits as its factorization.

101000111011117 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 16.

Adding to 101000111011117 its reverse (711110111000101), we get a palindrome (812110222011218).

The spelling of 101000111011117 in words is "one hundred one trillion, one hundred eleven million, eleven thousand, one hundred seventeen".