101200012109 has 32 divisors (see below), whose sum is σ = 119227809792. Its totient is φ = 84103272000.

The previous prime is 101200012087. The next prime is 101200012117. The reversal of 101200012109 is 901210002101.

It is a cyclic number.

It is not a de Polignac number, because 101200012109 - 2²⁰ = 101198963533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16134644 + ... + 16140914.

It is an arithmetic number, because the mean of its divisors is an integer number (3725869056).

Almost surely, 2^101200012109 is an apocalyptic number.

It is an amenable number.

101200012109 is a deficient number, since it is larger than the sum of its proper divisors (18027797683).

101200012109 is a wasteful number, since it uses less digits than its factorization.

101200012109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101200012109 in words is "one hundred one billion, two hundred million, twelve thousand, one hundred nine".