10344134121101 has 16 divisors (see below), whose sum is σ = 11850141760128. Its totient is φ = 8937606849600.

The previous prime is 10344134121091. The next prime is 10344134121143. The reversal of 10344134121101 is 10112143144301.

It is a de Polignac number, because none of the positive numbers 2^k-10344134121101 is a prime.

It is a super-2 number, since 2×10344134121101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344134121301) 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, 130170170 + ... + 130249611.

It is an arithmetic number, because the mean of its divisors is an integer number (740633860008).

Almost surely, 2^{10344134121101} is an apocalyptic number.

10344134121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344134121101 is a deficient number, since it is larger than the sum of its proper divisors (1506007639027).

10344134121101 is a wasteful number, since it uses less digits than its factorization.

10344134121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260419972.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 10344134121101 its reverse (10112143144301), we get a palindrome (20456277265402).

The spelling of 10344134121101 in words is "ten trillion, three hundred forty-four billion, one hundred thirty-four million, one hundred twenty-one thousand, one hundred one".