1001010330112 has 120 divisors (see below), whose sum is σ = 2167988052384. Its totient is φ = 461527732224.

The previous prime is 1001010330091. The next prime is 1001010330113. The reversal of 1001010330112 is 2110330101001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1001010330092 and 1001010330101.

It is not an unprimeable number, because it can be changed into a prime (1001010330113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91973823 + ... + 91984705.

Almost surely, 2^{1001010330112} 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 1001010330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083994026192).

1001010330112 is an abundant number, since it is smaller than the sum of its proper divisors (1166977722272).

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

1001010330112 is a wasteful number, since it uses less digits than its factorization.

1001010330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1001010330112 its reverse (2110330101001), we get a palindrome (3111340431113).

The spelling of 1001010330112 in words is "one trillion, one billion, ten million, three hundred thirty thousand, one hundred twelve".