101111010110109 has 24 divisors (see below), whose sum is σ = 151465985363160. Its totient is φ = 64919012070528.

The previous prime is 101111010110081. The next prime is 101111010110137. The reversal of 101111010110109 is 901011010111101.

It is an interprime number because it is at equal distance from previous prime (101111010110081) and next prime (101111010110137).

It can be written as a sum of positive squares in 4 ways, for example, as 9235046922084 + 91875963188025 = 3038922^2 + 9585195^2 .

It is not a de Polignac number, because 101111010110109 - 2⁹ = 101111010109597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111010110091 and 101111010110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111010210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487803822 + ... + 488011055.

It is an arithmetic number, because the mean of its divisors is an integer number (6311082723465).

Almost surely, 2^{101111010110109} is an apocalyptic number.

It is an amenable number.

101111010110109 is a deficient number, since it is larger than the sum of its proper divisors (50354975253051).

101111010110109 is a wasteful number, since it uses less digits than its factorization.

101111010110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975815309 (or 975815306 counting only the distinct ones).

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

The spelling of 101111010110109 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred nine".