10001010010112 has 96 divisors (see below), whose sum is σ = 21877942937760. Its totient is φ = 4532809482240.

The previous prime is 10001010010111. The next prime is 10001010010133. The reversal of 10001010010112 is 21101001010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10001010010112.

It is not an unprimeable number, because it can be changed into a prime (10001010010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7177538 + ... + 8456894.

It is an arithmetic number, because the mean of its divisors is an integer number (227895238935).

Almost surely, 2^{10001010010112} 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 10001010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938971468880).

10001010010112 is an abundant number, since it is smaller than the sum of its proper divisors (11876932927648).

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

10001010010112 is a wasteful number, since it uses less digits than its factorization.

10001010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279737 (or 1279717 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001010010112 its reverse (21101001010001), we get a palindrome (31102011020113).

The spelling of 10001010010112 in words is "ten trillion, one billion, ten million, ten thousand, one hundred twelve".