100000101101109 has 64 divisors (see below), whose sum is σ = 152219674214400. Its totient is φ = 57843043876800.

The previous prime is 100000101101101. The next prime is 100000101101143. The reversal of 100000101101109 is 901101101000001.

100000101101109 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100000101101109 - 2³ = 100000101101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101101101) 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, 70660752 + ... + 72062070.

It is an arithmetic number, because the mean of its divisors is an integer number (2378432409600).

Almost surely, 2^{100000101101109} is an apocalyptic number.

It is an amenable number.

100000101101109 is a deficient number, since it is larger than the sum of its proper divisors (52219573113291).

100000101101109 is a wasteful number, since it uses less digits than its factorization.

100000101101109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402326.

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

The spelling of 100000101101109 in words is "one hundred trillion, one hundred one million, one hundred one thousand, one hundred nine".