10101110111109 has 24 divisors (see below), whose sum is σ = 15225752610432. Its totient is φ = 6440910648480.

The previous prime is 10101110111107. The next prime is 10101110111173. The reversal of 10101110111109 is 90111101110101.

It is not a de Polignac number, because 10101110111109 - 2¹ = 10101110111107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101110111091 and 10101110111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2139259 + ... + 4977815.

It is an arithmetic number, because the mean of its divisors is an integer number (634406358768).

Almost surely, 2^{10101110111109} is an apocalyptic number.

It is an amenable number.

10101110111109 is a deficient number, since it is larger than the sum of its proper divisors (5124642499323).

10101110111109 is a wasteful number, since it uses less digits than its factorization.

10101110111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855777 (or 2855774 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 10101110111109 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred nine".