10344304104101 has 16 divisors (see below), whose sum is σ = 11608917960960. Its totient is φ = 9136648270080.

The previous prime is 10344304104097. The next prime is 10344304104103. The reversal of 10344304104101 is 10140140344301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10344304104101 - 2² = 10344304104097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344304104103) 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 15 ways as a sum of consecutive naturals, for example, 72952256 + ... + 73093913.

It is an arithmetic number, because the mean of its divisors is an integer number (725557372560).

Almost surely, 2^{10344304104101} is an apocalyptic number.

10344304104101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344304104101 is a deficient number, since it is larger than the sum of its proper divisors (1264613856859).

10344304104101 is a wasteful number, since it uses less digits than its factorization.

10344304104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146046364.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10344304104101 its reverse (10140140344301), we get a palindrome (20484444448402).

The spelling of 10344304104101 in words is "ten trillion, three hundred forty-four billion, three hundred four million, one hundred four thousand, one hundred one".