101110000100109 has 48 divisors (see below), whose sum is σ = 182002662203904. Its totient is φ = 48484315713600.

The previous prime is 101110000100099. The next prime is 101110000100111. The reversal of 101110000100109 is 901001000011101.

101110000100109 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 101110000100109 - 2²⁵ = 101109966545677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000100119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294948027 + ... + 1295026104.

It is an arithmetic number, because the mean of its divisors is an integer number (3791722129248).

Almost surely, 2^{101110000100109} is an apocalyptic number.

It is an amenable number.

101110000100109 is a deficient number, since it is larger than the sum of its proper divisors (80892662103795).

101110000100109 is a wasteful number, since it uses less digits than its factorization.

101110000100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589974178 (or 2589974165 counting only the distinct ones).

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

The spelling of 101110000100109 in words is "one hundred one trillion, one hundred ten billion, one hundred thousand, one hundred nine".