102112002112 has 56 divisors (see below), whose sum is σ = 209255685120. Its totient is φ = 49387591680.

The previous prime is 102112002107. The next prime is 102112002121. The reversal of 102112002112 is 211200211201.

It is a junction number, because it is equal to n+sod(n) for n = 102112002092 and 102112002101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5166393 + ... + 5186119.

Almost surely, 2^102112002112 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 102112002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104627842560).

102112002112 is an abundant number, since it is smaller than the sum of its proper divisors (107143683008).

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

102112002112 is a wasteful number, since it uses less digits than its factorization.

102112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22379 (or 22369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112002112 its reverse (211200211201), we get a palindrome (313312213313).

The spelling of 102112002112 in words is "one hundred two billion, one hundred twelve million, two thousand, one hundred twelve".