10114514342101 has 16 divisors (see below), whose sum is σ = 11005094747248. Its totient is φ = 9240015513600.

The previous prime is 10114514342017. The next prime is 10114514342111. The reversal of 10114514342101 is 10124341541101.

It can be written as a sum of positive squares in 8 ways, for example, as 95067388900 + 10019446953201 = 308330^2 + 3165351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114514342101 - 2¹⁷ = 10114514211029 is a prime.

It is a super-2 number, since 2×10114514342101² (a number of 27 digits) contains 22 as substring.

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 10114514342101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114514342111) 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, 104590711 + ... + 104687371.

It is an arithmetic number, because the mean of its divisors is an integer number (687818421703).

Almost surely, 2^{10114514342101} is an apocalyptic number.

It is an amenable number.

10114514342101 is a deficient number, since it is larger than the sum of its proper divisors (890580405147).

10114514342101 is an equidigital number, since it uses as much as digits as its factorization.

10114514342101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179752.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 10114514342101 its reverse (10124341541101), we get a palindrome (20238855883202).

The spelling of 10114514342101 in words is "ten trillion, one hundred fourteen billion, five hundred fourteen million, three hundred forty-two thousand, one hundred one".