10101111107117 has 16 divisors (see below), whose sum is σ = 10865222035200. Its totient is φ = 9356443633152.

The previous prime is 10101111107111. The next prime is 10101111107159. The reversal of 10101111107117 is 71170111110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101111107117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111107092 and 10101111107101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111107111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8215367 + ... + 9364532.

It is an arithmetic number, because the mean of its divisors is an integer number (679076377200).

Almost surely, 2^{10101111107117} is an apocalyptic number.

10101111107117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10101111107117 is a deficient number, since it is larger than the sum of its proper divisors (764110928083).

10101111107117 is a wasteful number, since it uses less digits than its factorization.

10101111107117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17580452.

The product of its (nonzero) digits is 49, while the sum is 23.

Adding to 10101111107117 its reverse (71170111110101), we get a palindrome (81271222217218).

The spelling of 10101111107117 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred seven thousand, one hundred seventeen".