1001123410000 has 150 divisors (see below), whose sum is σ = 2819546963970. Its totient is φ = 343242144000.

The previous prime is 1001123409997. The next prime is 1001123410033. The reversal of 1001123410000 is 143211001.

It can be written as a sum of positive squares in 5 ways, for example, as 141490327104 + 859633082896 = 376152^2 + 927164^2 .

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 29 ways as a sum of consecutive naturals, for example, 531555 + ... + 1511554.

Almost surely, 2^{1001123410000} is an apocalyptic number.

1001123410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001123410000 is an abundant number, since it is smaller than the sum of its proper divisors (1818423553970).

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

1001123410000 is an equidigital number, since it uses as much as digits as its factorization.

1001123410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043151 (or 2043123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1001123410000 its reverse (143211001), we get a palindrome (1001266621001).

The spelling of 1001123410000 in words is "one trillion, one billion, one hundred twenty-three million, four hundred ten thousand".