10001043122240 has 224 divisors, whose sum is σ = 24251002836480. Its totient is φ = 3927808475136.

The previous prime is 10001043122221. The next prime is 10001043122249. The reversal of 10001043122240 is 4222134010001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10001043122249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3798343964 + ... + 3798346596.

It is an arithmetic number, because the mean of its divisors is an integer number (108263405520).

Almost surely, 2^{10001043122240} is an apocalyptic number.

10001043122240 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 10001043122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125501418240).

10001043122240 is an abundant number, since it is smaller than the sum of its proper divisors (14249959714240).

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

10001043122240 is a wasteful number, since it uses less digits than its factorization.

10001043122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10001043122240 its reverse (4222134010001), we get a palindrome (14223177132241).

The spelling of 10001043122240 in words is "ten trillion, one billion, forty-three million, one hundred twenty-two thousand, two hundred forty".