14106584101 has 2 divisors, whose sum is σ = 14106584102. Its totient is φ = 14106584100.

The previous prime is 14106584099. The next prime is 14106584113. The reversal of 14106584101 is 10148560141.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10400940225 + 3705643876 = 101985^2 + 60874^2 .

It is an emirp because it is prime and its reverse (10148560141) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 14106584101 - 2¹ = 14106584099 is a prime.

Together with 14106584099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14106584161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7053292050 + 7053292051.

It is an arithmetic number, because the mean of its divisors is an integer number (7053292051).

Almost surely, 2^14106584101 is an apocalyptic number.

It is an amenable number.

14106584101 is a deficient number, since it is larger than the sum of its proper divisors (1).

14106584101 is an equidigital number, since it uses as much as digits as its factorization.

14106584101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 14106584101 in words is "fourteen billion, one hundred six million, five hundred eighty-four thousand, one hundred one".