1001121201344 has 224 divisors, whose sum is σ = 2379338660160. Its totient is φ = 412555673600.

The previous prime is 1001121201323. The next prime is 1001121201347. The reversal of 1001121201344 is 4431021211001.

1001121201344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001121201347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159997064 + ... + 160003320.

It is an arithmetic number, because the mean of its divisors is an integer number (10622047590).

Almost surely, 2^{1001121201344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001121201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189669330080).

1001121201344 is an abundant number, since it is smaller than the sum of its proper divisors (1378217458816).

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

1001121201344 is a wasteful number, since it uses less digits than its factorization.

1001121201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1001121201344 its reverse (4431021211001), we get a palindrome (5432142412345).

The spelling of 1001121201344 in words is "one trillion, one billion, one hundred twenty-one million, two hundred one thousand, three hundred forty-four".