101434341242340 has 192 divisors, whose sum is σ = 318713758110720. Its totient is φ = 26780019724800.

The previous prime is 101434341242329. The next prime is 101434341242383. The reversal of 101434341242340 is 43242143434101.

101434341242340 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 4 + 3 + 412 + 4 + 234 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101434341242295 and 101434341242304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1636878037 + ... + 1636940003.

It is an arithmetic number, because the mean of its divisors is an integer number (1659967490160).

Almost surely, 2^{101434341242340} is an apocalyptic number.

101434341242340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101434341242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159356879055360).

101434341242340 is an abundant number, since it is smaller than the sum of its proper divisors (217279416868380).

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

101434341242340 is a wasteful number, since it uses less digits than its factorization.

101434341242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92099 (or 92091 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 101434341242340 its reverse (43242143434101), we get a palindrome (144676484676441).

The spelling of 101434341242340 in words is "one hundred one trillion, four hundred thirty-four billion, three hundred forty-one million, two hundred forty-two thousand, three hundred forty".