101111011001109 has 24 divisors (see below), whose sum is σ = 158819839228440. Its totient is φ = 61727548843008.

The previous prime is 101111011001087. The next prime is 101111011001171. The reversal of 101111011001109 is 901100110111101.

It can be written as a sum of positive squares in 4 ways, for example, as 54324343955025 + 46786667046084 = 7370505^2 + 6840078^2 .

It is not a de Polignac number, because 101111011001109 - 2⁴⁰ = 100011499373333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111011001091 and 101111011001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011008109) 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, 8930484624 + ... + 8930495945.

It is an arithmetic number, because the mean of its divisors is an integer number (6617493301185).

Almost surely, 2^{101111011001109} is an apocalyptic number.

It is an amenable number.

101111011001109 is a deficient number, since it is larger than the sum of its proper divisors (57708828227331).

101111011001109 is a wasteful number, since it uses less digits than its factorization.

101111011001109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17860980629 (or 17860980626 counting only the distinct ones).

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

The spelling of 101111011001109 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one thousand, one hundred nine".