10001121014444 has 24 divisors (see below), whose sum is σ = 20008394853888. Its totient is φ = 4284876258000.

The previous prime is 10001121014441. The next prime is 10001121014453. The reversal of 10001121014444 is 44441012110001.

It is not an unprimeable number, because it can be changed into a prime (10001121014441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54843284 + ... + 55025339.

It is an arithmetic number, because the mean of its divisors is an integer number (833683118912).

Almost surely, 2^{10001121014444} is an apocalyptic number.

10001121014444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10001121014444 is an abundant number, since it is smaller than the sum of its proper divisors (10007273839444).

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

10001121014444 is a wasteful number, since it uses less digits than its factorization.

10001121014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109871885 (or 109871883 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10001121014444 its reverse (44441012110001), we get a palindrome (54442133124445).

The spelling of 10001121014444 in words is "ten trillion, one billion, one hundred twenty-one million, fourteen thousand, four hundred forty-four".