101415414113 has 16 divisors (see below), whose sum is σ = 115071640320. Its totient is φ = 88674657984.

The previous prime is 101415414091. The next prime is 101415414151. The reversal of 101415414113 is 311414514101.

It is a cyclic number.

It is not a de Polignac number, because 101415414113 - 2¹⁰ = 101415413089 is a prime.

It is a super-2 number, since 2×101415414113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101415414173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615718 + ... + 1677311.

It is an arithmetic number, because the mean of its divisors is an integer number (7191977520).

Almost surely, 2^101415414113 is an apocalyptic number.

101415414113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101415414113 is a deficient number, since it is larger than the sum of its proper divisors (13656226207).

101415414113 is a wasteful number, since it uses less digits than its factorization.

101415414113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293168.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 101415414113 its reverse (311414514101), we get a palindrome (412829928214).

The spelling of 101415414113 in words is "one hundred one billion, four hundred fifteen million, four hundred fourteen thousand, one hundred thirteen".