101414201200341 has 24 divisors (see below), whose sum is σ = 141460639358976. Its totient is φ = 64620968786880.

The previous prime is 101414201200339. The next prime is 101414201200441. The reversal of 101414201200341 is 143002102414101.

It is a happy number.

It is not a de Polignac number, because 101414201200341 - 2¹ = 101414201200339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414201200331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22090965 + ... + 26283818.

It is an arithmetic number, because the mean of its divisors is an integer number (5894193306624).

Almost surely, 2^{101414201200341} is an apocalyptic number.

It is an amenable number.

101414201200341 is a deficient number, since it is larger than the sum of its proper divisors (40046438158635).

101414201200341 is a wasteful number, since it uses less digits than its factorization.

101414201200341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48376153 (or 48376130 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101414201200341 its reverse (143002102414101), we get a palindrome (244416303614442).

The spelling of 101414201200341 in words is "one hundred one trillion, four hundred fourteen billion, two hundred one million, two hundred thousand, three hundred forty-one".