100111000101109 has 16 divisors (see below), whose sum is σ = 102929806909440. Its totient is φ = 97322739136560.

The previous prime is 100111000101089. The next prime is 100111000101143. The reversal of 100111000101109 is 901101000111001.

It is a cyclic number.

It is not a de Polignac number, because 100111000101109 - 2⁷ = 100111000100981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111000101092 and 100111000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000107109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5046429 + ... + 15022930.

It is an arithmetic number, because the mean of its divisors is an integer number (6433112931840).

Almost surely, 2^{100111000101109} is an apocalyptic number.

It is an amenable number.

100111000101109 is a deficient number, since it is larger than the sum of its proper divisors (2818806808331).

100111000101109 is a wasteful number, since it uses less digits than its factorization.

100111000101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20070120.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100111000101109 in words is "one hundred trillion, one hundred eleven billion, one hundred one thousand, one hundred nine".