210102882912 has 480 divisors, whose sum is σ = 691066785024. Its totient is φ = 62183116800.

The previous prime is 210102882907. The next prime is 210102882929. The reversal of 210102882912 is 219288201012.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 205780962 + ... + 205781982.

Almost surely, 2^210102882912 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 210102882912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345533392512).

210102882912 is an abundant number, since it is smaller than the sum of its proper divisors (480963902112).

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

210102882912 is a wasteful number, since it uses less digits than its factorization.

210102882912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 210102882912 in words is "two hundred ten billion, one hundred two million, eight hundred eighty-two thousand, nine hundred twelve".