100110101109 has 16 divisors (see below), whose sum is σ = 141394413888. Its totient is φ = 62786400512.

The previous prime is 100110101029. The next prime is 100110101111. The reversal of 100110101109 is 901101011001.

It is a cyclic number.

It is not a de Polignac number, because 100110101109 - 2¹⁶ = 100110035573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101309) 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, 317322 + ... + 548555.

It is an arithmetic number, because the mean of its divisors is an integer number (8837150868).

Almost surely, 2^100110101109 is an apocalyptic number.

It is an amenable number.

100110101109 is a deficient number, since it is larger than the sum of its proper divisors (41284312779).

100110101109 is a wasteful number, since it uses less digits than its factorization.

100110101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868164.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 100110101109 in words is "one hundred billion, one hundred ten million, one hundred one thousand, one hundred nine".