1010011203312 has 80 divisors (see below), whose sum is σ = 2704712125440. Its totient is φ = 324393382656.

The previous prime is 1010011203307. The next prime is 1010011203419. The reversal of 1010011203312 is 2133021100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010011203291 and 1010011203300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67048 + ... + 1422855.

It is an arithmetic number, because the mean of its divisors is an integer number (33808901568).

Almost surely, 2^{1010011203312} is an apocalyptic number.

1010011203312 is a gapful number since it is divisible by the number (12) 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 1010011203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352356062720).

1010011203312 is an abundant number, since it is smaller than the sum of its proper divisors (1694700922128).

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

1010011203312 is a wasteful number, since it uses less digits than its factorization.

1010011203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490430 (or 1490424 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010011203312 its reverse (2133021100101), we get a palindrome (3143032303413).

The spelling of 1010011203312 in words is "one trillion, ten billion, eleven million, two hundred three thousand, three hundred twelve".