210010002002220 has 768 divisors, whose sum is σ = 720512492765184. Its totient is φ = 44689397760000.

The previous prime is 210010002002191. The next prime is 210010002002263. The reversal of 210010002002220 is 22200200010012.

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 = 210010002002196 and 210010002002205.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23462178745 + ... + 23462187695.

It is an arithmetic number, because the mean of its divisors is an integer number (938167308288).

Almost surely, 2^{210010002002220} is an apocalyptic number.

210010002002220 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 210010002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360256246382592).

210010002002220 is an abundant number, since it is smaller than the sum of its proper divisors (510502490762964).

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

210010002002220 is a wasteful number, since it uses less digits than its factorization.

210010002002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210010002002220 its reverse (22200200010012), we get a palindrome (232210202012232).

The spelling of 210010002002220 in words is "two hundred ten trillion, ten billion, two million, two thousand, two hundred twenty".