210002000112 has 480 divisors, whose sum is σ = 670517084160. Its totient is φ = 62797109760.

The previous prime is 210002000099. The next prime is 210002000113. The reversal of 210002000112 is 211000200012.

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 = 210002000094 and 210002000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002000113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455535562 + ... + 455536022.

It is an arithmetic number, because the mean of its divisors is an integer number (1396910592).

Almost surely, 2^210002000112 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 210002000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335258542080).

210002000112 is an abundant number, since it is smaller than the sum of its proper divisors (460515084048).

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

210002000112 is a wasteful number, since it uses less digits than its factorization.

210002000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 635 counting only the distinct ones).

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

Adding to 210002000112 its reverse (211000200012), we get a palindrome (421002200124).

The spelling of 210002000112 in words is "two hundred ten billion, two million, one hundred twelve", and thus it is an aban number.