14101354114101 has 48 divisors (see below), whose sum is σ = 21423859531776. Its totient is φ = 8920410272928.

The previous prime is 14101354114051. The next prime is 14101354114123. The reversal of 14101354114101 is 10141145310141.

14101354114101 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 3 + 541 + 14 + 101 = 666.

It is not a de Polignac number, because 14101354114101 - 2⁶ = 14101354114037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101354114181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309740526 + ... + 309786048.

It is an arithmetic number, because the mean of its divisors is an integer number (446330406912).

Almost surely, 2^{14101354114101} is an apocalyptic number.

It is an amenable number.

14101354114101 is a deficient number, since it is larger than the sum of its proper divisors (7322505417675).

14101354114101 is a wasteful number, since it uses less digits than its factorization.

14101354114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57462 (or 57459 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 14101354114101 its reverse (10141145310141), we get a palindrome (24242499424242).

The spelling of 14101354114101 in words is "fourteen trillion, one hundred one billion, three hundred fifty-four million, one hundred fourteen thousand, one hundred one".