10344101211234 has 96 divisors (see below), whose sum is σ = 26010144576000. Its totient is φ = 2910022359552.

The previous prime is 10344101211173. The next prime is 10344101211247. The reversal of 10344101211234 is 43211210144301.

It is a happy number.

10344101211234 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 410 + 1 + 2 + 11 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10344101211198 and 10344101211207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750382 + ... + 4609910.

It is an arithmetic number, because the mean of its divisors is an integer number (270939006000).

Almost surely, 2^{10344101211234} is an apocalyptic number.

10344101211234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344101211234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005072288000).

10344101211234 is an abundant number, since it is smaller than the sum of its proper divisors (15666043364766).

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

10344101211234 is a wasteful number, since it uses less digits than its factorization.

10344101211234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859872 (or 3859869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10344101211234 its reverse (43211210144301), we get a palindrome (53555311355535).

The spelling of 10344101211234 in words is "ten trillion, three hundred forty-four billion, one hundred one million, two hundred eleven thousand, two hundred thirty-four".