210212010120 has 256 divisors, whose sum is σ = 779361730560. Its totient is φ = 44259766272.

The previous prime is 210212010097. The next prime is 210212010149. The reversal of 210212010120 is 21010212012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210212010096 and 210212010105.

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 63 ways as a sum of consecutive naturals, for example, 514557 + ... + 827763.

It is an arithmetic number, because the mean of its divisors is an integer number (3044381760).

Almost surely, 2^210212010120 is an apocalyptic number.

210212010120 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 210212010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389680865280).

210212010120 is an abundant number, since it is smaller than the sum of its proper divisors (569149720440).

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

210212010120 is a wasteful number, since it uses less digits than its factorization.

210212010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313292 (or 313288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210212010120 its reverse (21010212012), we get a palindrome (231222222132).

The spelling of 210212010120 in words is "two hundred ten billion, two hundred twelve million, ten thousand, one hundred twenty".