101414104134 has 128 divisors (see below), whose sum is σ = 246370172928. Its totient is φ = 27218177280.

The previous prime is 101414104093. The next prime is 101414104147. The reversal of 101414104134 is 431401414101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9120162 + ... + 9131274.

It is an arithmetic number, because the mean of its divisors is an integer number (1924766976).

Almost surely, 2^101414104134 is an apocalyptic number.

101414104134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414104134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123185086464).

101414104134 is an abundant number, since it is smaller than the sum of its proper divisors (144956068794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101414104134 is a wasteful number, since it uses less digits than its factorization.

101414104134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362.

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

Adding to 101414104134 its reverse (431401414101), we get a palindrome (532815518235).

The spelling of 101414104134 in words is "one hundred one billion, four hundred fourteen million, one hundred four thousand, one hundred thirty-four".