12101101100119 has 6 divisors (see below), whose sum is σ = 12771522214080. Its totient is φ = 11464201041876.

The previous prime is 12101101100107. The next prime is 12101101100213. The reversal of 12101101100119 is 91100110110121.

It is not a de Polignac number, because 12101101100119 - 2⁵ = 12101101100087 is a prime.

It is a super-2 number, since 2×12101101100119² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101101100096 and 12101101100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101101101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16760527479 + ... + 16760528200.

It is an arithmetic number, because the mean of its divisors is an integer number (2128587035680).

Almost surely, 2^{12101101100119} is an apocalyptic number.

12101101100119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12101101100119 is a deficient number, since it is larger than the sum of its proper divisors (670421113961).

12101101100119 is an equidigital number, since it uses as much as digits as its factorization.

12101101100119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33521055717 (or 33521055698 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 12101101100119 in words is "twelve trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred nineteen".