1001321103104 has 144 divisors (see below), whose sum is σ = 2299394039040. Its totient is φ = 426304512000.

The previous prime is 1001321103043. The next prime is 1001321103113. The reversal of 1001321103104 is 4013011231001.

It is a super-2 number, since 2×1001321103104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 183962207 + ... + 183967649.

It is an arithmetic number, because the mean of its divisors is an integer number (15968014160).

Almost surely, 2^{1001321103104} is an apocalyptic number.

1001321103104 is a gapful number since it is divisible by the number (14) 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 1001321103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149697019520).

1001321103104 is an abundant number, since it is smaller than the sum of its proper divisors (1298072935936).

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

1001321103104 is an equidigital number, since it uses as much as digits as its factorization.

1001321103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001321103104 its reverse (4013011231001), we get a palindrome (5014332334105).

The spelling of 1001321103104 in words is "one trillion, one billion, three hundred twenty-one million, one hundred three thousand, one hundred four".