10002002100112 has 40 divisors (see below), whose sum is σ = 21148582957632. Its totient is φ = 4544646825600.

The previous prime is 10002002100109. The next prime is 10002002100151. The reversal of 10002002100112 is 21100120020001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10268839 + ... + 11200582.

Almost surely, 2^{10002002100112} is an apocalyptic number.

It is an amenable number.

10002002100112 is an abundant number, since it is smaller than the sum of its proper divisors (11146580857520).

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

10002002100112 is a wasteful number, since it uses less digits than its factorization.

10002002100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21472087 (or 21472081 counting only the distinct ones).

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

Adding to 10002002100112 its reverse (21100120020001), we get a palindrome (31102122120113).

The spelling of 10002002100112 in words is "ten trillion, two billion, two million, one hundred thousand, one hundred twelve".