101112120212109 has 16 divisors (see below), whose sum is σ = 135886170021888. Its totient is φ = 66873141406512.

The previous prime is 101112120212107. The next prime is 101112120212153. The reversal of 101112120212109 is 901212021211101.

It is not a de Polignac number, because 101112120212109 - 2¹ = 101112120212107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120212107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137207 + ... + 14380260.

It is an arithmetic number, because the mean of its divisors is an integer number (8492885626368).

Almost surely, 2^{101112120212109} is an apocalyptic number.

It is an amenable number.

101112120212109 is a deficient number, since it is larger than the sum of its proper divisors (34774049809779).

101112120212109 is a wasteful number, since it uses less digits than its factorization.

101112120212109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533664.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 101112120212109 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred nine".