210212202120 has 128 divisors (see below), whose sum is σ = 642464784000. Its totient is φ = 55008573440.

The previous prime is 210212202107. The next prime is 210212202127. The reversal of 210212202120 is 21202212012.

210212202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210212202120.

It is not an unprimeable number, because it can be changed into a prime (210212202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4002430 + ... + 4054610.

It is an arithmetic number, because the mean of its divisors is an integer number (5019256125).

Almost surely, 2^210212202120 is an apocalyptic number.

210212202120 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 210212202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321232392000).

210212202120 is an abundant number, since it is smaller than the sum of its proper divisors (432252581880).

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

210212202120 is a wasteful number, since it uses less digits than its factorization.

210212202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52823 (or 52819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210212202120 its reverse (21202212012), we get a palindrome (231414414132).

The spelling of 210212202120 in words is "two hundred ten billion, two hundred twelve million, two hundred two thousand, one hundred twenty".