101340242240000 has 400 divisors, whose sum is σ = 282006454672800. Its totient is φ = 36143603712000.

The previous prime is 101340242239993. The next prime is 101340242240033. The reversal of 101340242240000 is 42242043101.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 102869771 + ... + 103850229.

It is an arithmetic number, because the mean of its divisors is an integer number (705016136682).

Almost surely, 2^{101340242240000} is an apocalyptic number.

101340242240000 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 101340242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141003227336400).

101340242240000 is an abundant number, since it is smaller than the sum of its proper divisors (180666212432800).

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

101340242240000 is an frugal number, since it uses more digits than its factorization.

101340242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980533 (or 980502 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 101340242240000 its reverse (42242043101), we get a palindrome (101382484283101).

The spelling of 101340242240000 in words is "one hundred one trillion, three hundred forty billion, two hundred forty-two million, two hundred forty thousand".