10002000112 has 40 divisors (see below), whose sum is σ = 20920761680. Its totient is φ = 4604981760.

The previous prime is 10002000109. The next prime is 10002000119. The reversal of 10002000112 is 21100020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002000095 and 10002000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26287 + ... + 143857.

It is an arithmetic number, because the mean of its divisors is an integer number (523019042).

Almost surely, 2^10002000112 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 10002000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460380840).

10002000112 is an abundant number, since it is smaller than the sum of its proper divisors (10918761568).

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

10002000112 is a wasteful number, since it uses less digits than its factorization.

10002000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118001 (or 117995 counting only the distinct ones).

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

Adding to 10002000112 its reverse (21100020001), we get a palindrome (31102020113).

The spelling of 10002000112 in words is "ten billion, two million, one hundred twelve", and thus it is an aban number.