1000112443121 has 24 divisors (see below), whose sum is σ = 1160026997376. Its totient is φ = 854942065920.

The previous prime is 1000112443079. The next prime is 1000112443139. The reversal of 1000112443121 is 1213442110001.

It is not a de Polignac number, because 1000112443121 - 2²⁶ = 1000045334257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000112443093 and 1000112443102.

It is not an unprimeable number, because it can be changed into a prime (1000112448121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3410120 + ... + 3691766.

It is an arithmetic number, because the mean of its divisors is an integer number (48334458224).

Almost surely, 2^{1000112443121} is an apocalyptic number.

1000112443121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000112443121 is a deficient number, since it is larger than the sum of its proper divisors (159914554255).

1000112443121 is a wasteful number, since it uses less digits than its factorization.

1000112443121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282809 (or 282792 counting only the distinct ones).

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

Adding to 1000112443121 its reverse (1213442110001), we get a palindrome (2213554553122).

The spelling of 1000112443121 in words is "one trillion, one hundred twelve million, four hundred forty-three thousand, one hundred twenty-one".