10114404344121 has 64 divisors (see below), whose sum is σ = 17384612345856. Its totient is φ = 5078176089600.

The previous prime is 10114404344119. The next prime is 10114404344147. The reversal of 10114404344121 is 12144340441101.

10114404344121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10114404344121 - 2¹ = 10114404344119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10114404345121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3976950 + ... + 6003743.

It is an arithmetic number, because the mean of its divisors is an integer number (271634567904).

Almost surely, 2^{10114404344121} is an apocalyptic number.

10114404344121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10114404344121 is a deficient number, since it is larger than the sum of its proper divisors (7270208001735).

10114404344121 is a wasteful number, since it uses less digits than its factorization.

10114404344121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980862.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10114404344121 its reverse (12144340441101), we get a palindrome (22258744785222).

The spelling of 10114404344121 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-four thousand, one hundred twenty-one".