10002112121112 has 32 divisors (see below), whose sum is σ = 26476179145200. Its totient is φ = 3137917528064.

The previous prime is 10002112121059. The next prime is 10002112121123. The reversal of 10002112121112 is 21112121120001.

It is a happy number.

It is a super-4 number, since 4×10002112121112⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10002112121091 and 10002112121100.

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, 12257489937 + ... + 12257490752.

Almost surely, 2^{10002112121112} is an apocalyptic number.

10002112121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002112121112 is an abundant number, since it is smaller than the sum of its proper divisors (16474067024088).

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

10002112121112 is a wasteful number, since it uses less digits than its factorization.

10002112121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514980715 (or 24514980711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10002112121112 its reverse (21112121120001), we get a palindrome (31114233241113).

The spelling of 10002112121112 in words is "ten trillion, two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twelve".