10111001101117 has 8 divisors (see below), whose sum is σ = 11606334808896. Its totient is φ = 8628393638112.

The previous prime is 10111001101111. The next prime is 10111001101139. The reversal of 10111001101117 is 71110110011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111001101117 - 2²⁷ = 10110866883389 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111001101117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001101111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3181559488 + ... + 3181562665.

It is an arithmetic number, because the mean of its divisors is an integer number (1450791851112).

Almost surely, 2^{10111001101117} is an apocalyptic number.

It is an amenable number.

10111001101117 is a deficient number, since it is larger than the sum of its proper divisors (1495333707779).

10111001101117 is an equidigital number, since it uses as much as digits as its factorization.

10111001101117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363122387.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 10111001101117 its reverse (71110110011101), we get a palindrome (81221111112218).

The spelling of 10111001101117 in words is "ten trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred seventeen".