210211100002220 has 192 divisors, whose sum is σ = 492579519062400. Its totient is φ = 74886567690240.

The previous prime is 210211100002193. The next prime is 210211100002279. The reversal of 210211100002220 is 22200001112012.

It is a junction number, because it is equal to n+sod(n) for n = 210211100002195 and 210211100002204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24192779636 + ... + 24192788324.

It is an arithmetic number, because the mean of its divisors is an integer number (2565518328450).

Almost surely, 2^{210211100002220} is an apocalyptic number.

210211100002220 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 210211100002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246289759531200).

210211100002220 is an abundant number, since it is smaller than the sum of its proper divisors (282368419060180).

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

210211100002220 is a wasteful number, since it uses less digits than its factorization.

210211100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210211100002220 its reverse (22200001112012), we get a palindrome (232411101114232).

The spelling of 210211100002220 in words is "two hundred ten trillion, two hundred eleven billion, one hundred million, two thousand, two hundred twenty".