210200020133220 has 1152 divisors, whose sum is σ = 823564172390400. Its totient is φ = 44128868179968.

The previous prime is 210200020133153. The next prime is 210200020133261. The reversal of 210200020133220 is 22331020002012.

210200020133220 is a `hidden beast` number, since 2 + 10 + 200 + 0 + 201 + 33 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210200020133193 and 210200020133202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 677815519 + ... + 678125561.

It is an arithmetic number, because the mean of its divisors is an integer number (714899455200).

Almost surely, 2^{210200020133220} is an apocalyptic number.

210200020133220 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 210200020133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411782086195200).

210200020133220 is an abundant number, since it is smaller than the sum of its proper divisors (613364152257180).

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

210200020133220 is a wasteful number, since it uses less digits than its factorization.

210200020133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310146 (or 310125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 210200020133220 its reverse (22331020002012), we get a palindrome (232531040135232).

The spelling of 210200020133220 in words is "two hundred ten trillion, two hundred billion, twenty million, one hundred thirty-three thousand, two hundred twenty".