12101104024434 has 64 divisors (see below), whose sum is σ = 27324485260800. Its totient is φ = 3968870100624.

The previous prime is 12101104024423. The next prime is 12101104024441. The reversal of 12101104024434 is 43442040110121.

12101104024434 is a `hidden beast` number, since 1 + 2 + 101 + 104 + 0 + 24 + 434 = 666.

It is a super-2 number, since 2×12101104024434² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101104024398 and 12101104024407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161009 + ... + 5054715.

It is an arithmetic number, because the mean of its divisors is an integer number (426945082200).

Almost surely, 2^{12101104024434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101104024434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662242630400).

12101104024434 is an abundant number, since it is smaller than the sum of its proper divisors (15223381236366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101104024434 is a wasteful number, since it uses less digits than its factorization.

12101104024434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894644 (or 3894638 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12101104024434 its reverse (43442040110121), we get a palindrome (55543144134555).

The spelling of 12101104024434 in words is "twelve trillion, one hundred one billion, one hundred four million, twenty-four thousand, four hundred thirty-four".