101414340324121 has 24 divisors (see below), whose sum is σ = 116990930064960. Its totient is φ = 87676634596320.

The previous prime is 101414340324109. The next prime is 101414340324131. The reversal of 101414340324121 is 121423043414101.

It is not a de Polignac number, because 101414340324121 - 2⁷ = 101414340323993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101414340324131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104838351 + ... + 105801268.

It is an arithmetic number, because the mean of its divisors is an integer number (4874622086040).

Almost surely, 2^{101414340324121} is an apocalyptic number.

101414340324121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101414340324121 is a deficient number, since it is larger than the sum of its proper divisors (15576589740839).

101414340324121 is a wasteful number, since it uses less digits than its factorization.

101414340324121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210639837 (or 210639826 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 101414340324121 its reverse (121423043414101), we get a palindrome (222837383738222).

The spelling of 101414340324121 in words is "one hundred one trillion, four hundred fourteen billion, three hundred forty million, three hundred twenty-four thousand, one hundred twenty-one".