10002000012112 has 160 divisors (see below), whose sum is σ = 20902216458240. Its totient is φ = 4625084175360.

The previous prime is 10002000012101. The next prime is 10002000012233. The reversal of 10002000012112 is 21121000020001.

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 31 ways as a sum of consecutive naturals, for example, 2375205687 + ... + 2375209897.

It is an arithmetic number, because the mean of its divisors is an integer number (130638852864).

Almost surely, 2^{10002000012112} 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 10002000012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451108229120).

10002000012112 is an abundant number, since it is smaller than the sum of its proper divisors (10900216446128).

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

10002000012112 is a wasteful number, since it uses less digits than its factorization.

10002000012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002000012112 its reverse (21121000020001), we get a palindrome (31123000032113).

The spelling of 10002000012112 in words is "ten trillion, two billion, twelve thousand, one hundred twelve".