101110110101109 has 12 divisors (see below), whose sum is σ = 147387826142700. Its totient is φ = 66788329607424.

The previous prime is 101110110101101. The next prime is 101110110101111. The reversal of 101110110101109 is 901101011011101.

It can be written as a sum of positive squares in 2 ways, for example, as 92087956485009 + 9022153616100 = 9596247^2 + 3003690^2 .

It is not a de Polignac number, because 101110110101109 - 2³ = 101110110101101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110110101091 and 101110110101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110110101101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51534203964 + ... + 51534205925.

It is an arithmetic number, because the mean of its divisors is an integer number (12282318845225).

Almost surely, 2^{101110110101109} is an apocalyptic number.

It is an amenable number.

101110110101109 is a deficient number, since it is larger than the sum of its proper divisors (46277716041591).

101110110101109 is a wasteful number, since it uses less digits than its factorization.

101110110101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103068410004 (or 103068410001 counting only the distinct ones).

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

The spelling of 101110110101109 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred nine".