210100110111220 has 192 divisors, whose sum is σ = 530223227928576. Its totient is φ = 68372786718720.

The previous prime is 210100110111217. The next prime is 210100110111223. The reversal of 210100110111220 is 22111011001012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210100110111217) and next prime (210100110111223).

It is a self number, because there is not a number n which added to its sum of digits gives 210100110111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100110111223) by changing a digit.

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, 222846252 + ... + 223787068.

It is an arithmetic number, because the mean of its divisors is an integer number (2761579312128).

Almost surely, 2^{210100110111220} is an apocalyptic number.

210100110111220 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 210100110111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265111613964288).

210100110111220 is an abundant number, since it is smaller than the sum of its proper divisors (320123117817356).

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

210100110111220 is a wasteful number, since it uses less digits than its factorization.

210100110111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941390 (or 941388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210100110111220 its reverse (22111011001012), we get a palindrome (232211121112232).

The spelling of 210100110111220 in words is "two hundred ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, two hundred twenty".