101134333123109 has 64 divisors (see below), whose sum is σ = 120116914606080. Its totient is φ = 83944565760000.

The previous prime is 101134333123097. The next prime is 101134333123151. The reversal of 101134333123109 is 901321333431101.

It is not a de Polignac number, because 101134333123109 - 2⁴ = 101134333123093 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 (101134333123309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3471932057 + ... + 3471961185.

It is an arithmetic number, because the mean of its divisors is an integer number (1876826790720).

Almost surely, 2^{101134333123109} is an apocalyptic number.

It is an amenable number.

101134333123109 is a deficient number, since it is larger than the sum of its proper divisors (18982581482971).

101134333123109 is a wasteful number, since it uses less digits than its factorization.

101134333123109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 101134333123109 in words is "one hundred one trillion, one hundred thirty-four billion, three hundred thirty-three million, one hundred twenty-three thousand, one hundred nine".