102002000112 has 100 divisors (see below), whose sum is σ = 295623511920. Its totient is φ = 33954584832.

The previous prime is 102002000059. The next prime is 102002000117. The reversal of 102002000112 is 211000200201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102002000094 and 102002000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002000117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 909964 + ... + 1015892.

Almost surely, 2^102002000112 is an apocalyptic number.

102002000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147811755960).

102002000112 is an abundant number, since it is smaller than the sum of its proper divisors (193621511808).

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

102002000112 is a wasteful number, since it uses less digits than its factorization.

102002000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106692 (or 106677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002000112 its reverse (211000200201), we get a palindrome (313002200313).

The spelling of 102002000112 in words is "one hundred two billion, two million, one hundred twelve", and thus it is an aban number.