14101115505101 has 16 divisors (see below), whose sum is σ = 15103848984048. Its totient is φ = 13118075904000.

The previous prime is 14101115505083. The next prime is 14101115505137. The reversal of 14101115505101 is 10150551110141.

It can be written as a sum of positive squares in 8 ways, for example, as 5125854481225 + 8975261023876 = 2264035^2 + 2995874^2 .

It is a cyclic number.

It is not a de Polignac number, because 14101115505101 - 2¹⁴ = 14101115488717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101115505151) 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, 5906480 + ... + 7942841.

It is an arithmetic number, because the mean of its divisors is an integer number (943990561503).

Almost surely, 2^{14101115505101} is an apocalyptic number.

It is an amenable number.

14101115505101 is a deficient number, since it is larger than the sum of its proper divisors (1002733478947).

14101115505101 is a wasteful number, since it uses less digits than its factorization.

14101115505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850032.

The product of its (nonzero) digits is 500, while the sum is 26.

Adding to 14101115505101 its reverse (10150551110141), we get a palindrome (24251666615242).

The spelling of 14101115505101 in words is "fourteen trillion, one hundred one billion, one hundred fifteen million, five hundred five thousand, one hundred one".