101334122340 has 144 divisors (see below), whose sum is σ = 326678909760. Its totient is φ = 23272853760.

The previous prime is 101334122327. The next prime is 101334122423. The reversal of 101334122340 is 43221433101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101334122340.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25606 + ... + 450914.

It is an arithmetic number, because the mean of its divisors is an integer number (2268603540).

Almost surely, 2^101334122340 is an apocalyptic number.

101334122340 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 101334122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163339454880).

101334122340 is an abundant number, since it is smaller than the sum of its proper divisors (225344787420).

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

101334122340 is a wasteful number, since it uses less digits than its factorization.

101334122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425370 (or 425349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101334122340 its reverse (43221433101), we get a palindrome (144555555441).

The spelling of 101334122340 in words is "one hundred one billion, three hundred thirty-four million, one hundred twenty-two thousand, three hundred forty".