101122120000109 has 8 divisors (see below), whose sum is σ = 114632362753440. Its totient is φ = 88430679837936.

The previous prime is 101122120000091. The next prime is 101122120000141. The reversal of 101122120000109 is 901000021221101.

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 101122120000109 - 2⁴⁰ = 100022608372333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122120002109) 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 7 ways as a sum of consecutive naturals, for example, 204700647527 + ... + 204700648020.

It is an arithmetic number, because the mean of its divisors is an integer number (14329045344180).

Almost surely, 2^{101122120000109} is an apocalyptic number.

101122120000109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101122120000109 is a deficient number, since it is larger than the sum of its proper divisors (13510242753331).

101122120000109 is a wasteful number, since it uses less digits than its factorization.

101122120000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409401295579.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101122120000109 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred nine", and thus it is an aban number.