100011111112109 has 32 divisors (see below), whose sum is σ = 107065338441600. Its totient is φ = 93141806376960.

The previous prime is 100011111112093. The next prime is 100011111112267. The reversal of 100011111112109 is 901211111110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011111112109 - 2⁴ = 100011111112093 is a prime.

It is a super-2 number, since 2×100011111112109² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011111112309) 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, 4309140497 + ... + 4309163705.

It is an arithmetic number, because the mean of its divisors is an integer number (3345791826300).

Almost surely, 2^{100011111112109} is an apocalyptic number.

100011111112109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100011111112109 is a deficient number, since it is larger than the sum of its proper divisors (7054227329491).

100011111112109 is a wasteful number, since it uses less digits than its factorization.

100011111112109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30093.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 100011111112109 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred nine".