210100002112 has 224 divisors, whose sum is σ = 589242286080. Its totient is φ = 71583160320.

The previous prime is 210100002103. The next prime is 210100002121. The reversal of 210100002112 is 211200001012.

It is an interprime number because it is at equal distance from previous prime (210100002103) and next prime (210100002121).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130913 + ... + 1303519.

It is an arithmetic number, because the mean of its divisors is an integer number (2630545920).

Almost surely, 2^210100002112 is an apocalyptic number.

210100002112 is a gapful number since it is divisible by the number (22) 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 210100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294621143040).

210100002112 is an abundant number, since it is smaller than the sum of its proper divisors (379142283968).

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

210100002112 is a wasteful number, since it uses less digits than its factorization.

210100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172669 (or 172659 counting only the distinct ones).

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

Adding to 210100002112 its reverse (211200001012), we get a palindrome (421300003124).

The spelling of 210100002112 in words is "two hundred ten billion, one hundred million, two thousand, one hundred twelve".