101101111101109 has 8 divisors (see below), whose sum is σ = 115544443750848. Its totient is φ = 86657857645920.

The previous prime is 101101111101097. The next prime is 101101111101121. The reversal of 101101111101109 is 901101111101101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101101111101097) and next prime (101101111101121).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101111101109 - 2¹⁷ = 101101110970037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111101169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17037352 + ... + 22191745.

It is an arithmetic number, because the mean of its divisors is an integer number (14443055468856).

Almost surely, 2^{101101111101109} is an apocalyptic number.

It is an amenable number.

101101111101109 is a deficient number, since it is larger than the sum of its proper divisors (14443332649739).

101101111101109 is an equidigital number, since it uses as much as digits as its factorization.

101101111101109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39597275.

The product of its (nonzero) digits is 9, while the sum is 19.

The spelling of 101101111101109 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred nine".