10344301442101 has 16 divisors (see below), whose sum is σ = 11375387186688. Its totient is φ = 9328560866800.

The previous prime is 10344301442089. The next prime is 10344301442197. The reversal of 10344301442101 is 10124410344301.

It is a cyclic number.

It is not a de Polignac number, because 10344301442101 - 2¹⁵ = 10344301409333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10344301442101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344301440101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4832335 + ... + 6636268.

It is an arithmetic number, because the mean of its divisors is an integer number (710961699168).

Almost surely, 2^{10344301442101} is an apocalyptic number.

10344301442101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344301442101 is a deficient number, since it is larger than the sum of its proper divisors (1031085744587).

10344301442101 is a wasteful number, since it uses less digits than its factorization.

10344301442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11469272.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10344301442101 its reverse (10124410344301), we get a palindrome (20468711786402).

The spelling of 10344301442101 in words is "ten trillion, three hundred forty-four billion, three hundred one million, four hundred forty-two thousand, one hundred one".