100102112111109 has 8 divisors (see below), whose sum is σ = 133610422082400. Its totient is φ = 66664271773616.

The previous prime is 100102112111021. The next prime is 100102112111153. The reversal of 100102112111109 is 901111211201001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100102112111109 - 2⁴¹ = 97903088855557 is a prime.

It is a super-2 number, since 2×100102112111109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102112111189) 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 7 ways as a sum of consecutive naturals, for example, 17617405134 + ... + 17617410815.

It is an arithmetic number, because the mean of its divisors is an integer number (16701302760300).

Almost surely, 2^{100102112111109} is an apocalyptic number.

It is an amenable number.

100102112111109 is a deficient number, since it is larger than the sum of its proper divisors (33508309971291).

100102112111109 is an equidigital number, since it uses as much as digits as its factorization.

100102112111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35234816899.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 100102112111109 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred eleven thousand, one hundred nine".