10002000000112 has 40 divisors (see below), whose sum is σ = 20057726379600. Its totient is φ = 4825995159552.

The previous prime is 10002000000101. The next prime is 10002000000131. The reversal of 10002000000112 is 21100000020001.

It is a super-4 number, since 4×10002000000112⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002000000095 and 10002000000104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4829178 + ... + 6582169.

It is an arithmetic number, because the mean of its divisors is an integer number (501443159490).

Almost surely, 2^{10002000000112} is an apocalyptic number.

It is an amenable number.

10002000000112 is an abundant number, since it is smaller than the sum of its proper divisors (10055726379488).

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

10002000000112 is a wasteful number, since it uses less digits than its factorization.

10002000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413273 (or 11413267 counting only the distinct ones).

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

Adding to 10002000000112 its reverse (21100000020001), we get a palindrome (31102000020113).

The spelling of 10002000000112 in words is "ten trillion, two billion, one hundred twelve", and thus it is an aban number.