210222103212100 has 144 divisors (see below), whose sum is σ = 552393824532480. Its totient is φ = 67790254694400.

The previous prime is 210222103212047. The next prime is 210222103212101. The reversal of 210222103212100 is 1212301222012.

It is not an unprimeable number, because it can be changed into a prime (210222103212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11500236 + ... + 23509564.

It is an arithmetic number, because the mean of its divisors is an integer number (3836068225920).

Almost surely, 2^{210222103212100} is an apocalyptic number.

210222103212100 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 210222103212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276196912266240).

210222103212100 is an abundant number, since it is smaller than the sum of its proper divisors (342171721320380).

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

210222103212100 is a wasteful number, since it uses less digits than its factorization.

210222103212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010838 (or 12010831 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 210222103212100 its reverse (1212301222012), we get a palindrome (211434404434112).

The spelling of 210222103212100 in words is "two hundred ten trillion, two hundred twenty-two billion, one hundred three million, two hundred twelve thousand, one hundred".