213120210100 has 72 divisors (see below), whose sum is σ = 535982444928. Its totient is φ = 72040617600.

The previous prime is 213120210073. The next prime is 213120210101. The reversal of 213120210100 is 1012021312.

213120210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120210101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094367 + ... + 2193766.

It is an arithmetic number, because the mean of its divisors is an integer number (7444200624).

Almost surely, 2^213120210100 is an apocalyptic number.

213120210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120210100 is an abundant number, since it is smaller than the sum of its proper divisors (322862234828).

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

213120210100 is a wasteful number, since it uses less digits than its factorization.

213120210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288225 (or 4288218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213120210100 its reverse (1012021312), we get a palindrome (214132231412).

The spelling of 213120210100 in words is "two hundred thirteen billion, one hundred twenty million, two hundred ten thousand, one hundred".