101321311122240 has 1792 divisors, whose sum is σ = 380873367060480. Its totient is φ = 22579200000000.

The previous prime is 101321311122221. The next prime is 101321311122313. The reversal of 101321311122240 is 42221113123101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101321311122240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 240668197230 + ... + 240668197650.

It is an arithmetic number, because the mean of its divisors is an integer number (212540941440).

Almost surely, 2^{101321311122240} is an apocalyptic number.

101321311122240 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 101321311122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190436683530240).

101321311122240 is an abundant number, since it is smaller than the sum of its proper divisors (279552055938240).

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

101321311122240 is a wasteful number, since it uses less digits than its factorization.

101321311122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101321311122240 its reverse (42221113123101), we get a palindrome (143542424245341).

The spelling of 101321311122240 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred eleven million, one hundred twenty-two thousand, two hundred forty".