210220221120 has 448 divisors, whose sum is σ = 869804199936. Its totient is φ = 41744793600.

The previous prime is 210220221109. The next prime is 210220221131. The reversal of 210220221120 is 21122022012.

It is an interprime number because it is at equal distance from previous prime (210220221109) and next prime (210220221131).

It is a tau number, because it is divible by the number of its divisors (448).

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 210220221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1414345 + ... + 1555895.

It is an arithmetic number, because the mean of its divisors is an integer number (1941527232).

Almost surely, 2^210220221120 is an apocalyptic number.

210220221120 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 210220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434902099968).

210220221120 is an abundant number, since it is smaller than the sum of its proper divisors (659583978816).

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

210220221120 is a wasteful number, since it uses less digits than its factorization.

210220221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141608 (or 141598 counting only the distinct ones).

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

Adding to 210220221120 its reverse (21122022012), we get a palindrome (231342243132).

The spelling of 210220221120 in words is "two hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".