210002120 has 64 divisors (see below), whose sum is σ = 484116480. Its totient is φ = 81962496.

The previous prime is 210002119. The next prime is 210002141. The reversal of 210002120 is 21200012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 210002098 and 210002107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340052 + ... + 340668.

It is an arithmetic number, because the mean of its divisors is an integer number (7564320).

Almost surely, 2^210002120 is an apocalyptic number.

210002120 is a gapful number since it is divisible by the number (20) 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 210002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242058240).

210002120 is an abundant number, since it is smaller than the sum of its proper divisors (274114360).

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

210002120 is a wasteful number, since it uses less digits than its factorization.

210002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

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

The square root of 210002120 is about 14491.4498929541. The cubic root of 210002120 is about 594.3941954465.

Adding to 210002120 its reverse (21200012), we get a palindrome (231202132).

The spelling of 210002120 in words is "two hundred ten million, two thousand, one hundred twenty".