101414134343104 has 56 divisors (see below), whose sum is σ = 219800220393600. Its totient is φ = 46042390337280.

The previous prime is 101414134343099. The next prime is 101414134343129. The reversal of 101414134343104 is 401343431414101.

It is a super-3 number, since 3×101414134343104³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101414134343104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85258074 + ... + 86439385.

It is an arithmetic number, because the mean of its divisors is an integer number (3925003935600).

Almost surely, 2^{101414134343104} is an apocalyptic number.

It is an amenable number.

101414134343104 is an abundant number, since it is smaller than the sum of its proper divisors (118386086050496).

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

101414134343104 is a wasteful number, since it uses less digits than its factorization.

101414134343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171698321 (or 171698311 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 101414134343104 its reverse (401343431414101), we get a palindrome (502757565757205).

The spelling of 101414134343104 in words is "one hundred one trillion, four hundred fourteen billion, one hundred thirty-four million, three hundred forty-three thousand, one hundred four".