10002112000 has 160 divisors (see below), whose sum is σ = 25152345504. Its totient is φ = 3966976000.

The previous prime is 10002111961. The next prime is 10002112067. The reversal of 10002112000 is 21120001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8383404 + ... + 8384596.

Almost surely, 2^10002112000 is an apocalyptic number.

10002112000 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 10002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576172752).

10002112000 is an abundant number, since it is smaller than the sum of its proper divisors (15150233504).

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

10002112000 is an equidigital number, since it uses as much as digits as its factorization.

10002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002112000 its reverse (21120001), we get a palindrome (10023232001).

The spelling of 10002112000 in words is "ten billion, two million, one hundred twelve thousand".