10002100120112 has 80 divisors (see below), whose sum is σ = 19694268236160. Its totient is φ = 4920392894976.

The previous prime is 10002100120097. The next prime is 10002100120139. The reversal of 10002100120112 is 21102100120001.

10002100120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10002100120093 and 10002100120102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413827964 + ... + 413852132.

It is an arithmetic number, because the mean of its divisors is an integer number (246178352952).

Almost surely, 2^{10002100120112} is an apocalyptic number.

It is an amenable number.

10002100120112 is a deficient number, since it is larger than the sum of its proper divisors (9692168116048).

10002100120112 is a wasteful number, since it uses less digits than its factorization.

10002100120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25930 (or 25924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002100120112 its reverse (21102100120001), we get a palindrome (31104200240113).

The spelling of 10002100120112 in words is "ten trillion, two billion, one hundred million, one hundred twenty thousand, one hundred twelve".