10001012110000 has 200 divisors, whose sum is σ = 25962334643520. Its totient is φ = 3717422592000.

The previous prime is 10001012109989. The next prime is 10001012110009. The reversal of 10001012110000 is 1121010001.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (10001012110009) 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 39 ways as a sum of consecutive naturals, for example, 13057662 + ... + 13802338.

Almost surely, 2^{10001012110000} is an apocalyptic number.

10001012110000 is a gapful number since it is divisible by the number (10) 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 10001012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981167321760).

10001012110000 is an abundant number, since it is smaller than the sum of its proper divisors (15961322533520).

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

10001012110000 is an equidigital number, since it uses as much as digits as its factorization.

10001012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744801 (or 744780 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001012110000 its reverse (1121010001), we get a palindrome (10002133120001).

The spelling of 10001012110000 in words is "ten trillion, one billion, twelve million, one hundred ten thousand".