210212221102100 has 144 divisors (see below), whose sum is σ = 534857725248000. Its totient is φ = 70210903835520.

The previous prime is 210212221102063. The next prime is 210212221102207. The reversal of 210212221102100 is 1201122212012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194451 + ... + 20621349.

Almost surely, 2^{210212221102100} is an apocalyptic number.

210212221102100 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 210212221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267428862624000).

210212221102100 is an abundant number, since it is smaller than the sum of its proper divisors (324645504145900).

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

210212221102100 is a wasteful number, since it uses less digits than its factorization.

210212221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18427342 (or 18427335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210212221102100 its reverse (1201122212012), we get a palindrome (211413343314112).

The spelling of 210212221102100 in words is "two hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred".