10111111100111 has 24 divisors (see below), whose sum is σ = 12275917931520. Its totient is φ = 8156437990272.

The previous prime is 10111111100099. The next prime is 10111111100119. The reversal of 10111111100111 is 11100111111101.

It is not a de Polignac number, because 10111111100111 - 2¹⁴ = 10111111083727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111111100092 and 10111111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111100119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42118526 + ... + 42357908.

It is an arithmetic number, because the mean of its divisors is an integer number (511496580480).

Almost surely, 2^{10111111100111} is an apocalyptic number.

10111111100111 is a deficient number, since it is larger than the sum of its proper divisors (2164806831409).

10111111100111 is a wasteful number, since it uses less digits than its factorization.

10111111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260303 (or 260286 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111111100111 its reverse (11100111111101), we get a palindrome (21211222211212).

The spelling of 10111111100111 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred eleven".