213223022100 has 432 divisors, whose sum is σ = 738046720320. Its totient is φ = 51060326400.

The previous prime is 213223022083. The next prime is 213223022107. The reversal of 213223022100 is 1220322312.

213223022100 is a `hidden beast` number, since 21 + 322 + 302 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223022107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369537012 + ... + 369537588.

Almost surely, 2^213223022100 is an apocalyptic number.

213223022100 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 213223022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369023360160).

213223022100 is an abundant number, since it is smaller than the sum of its proper divisors (524823698220).

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

213223022100 is a wasteful number, since it uses less digits than its factorization.

213223022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213223022100 its reverse (1220322312), we get a palindrome (214443344412).

The spelling of 213223022100 in words is "two hundred thirteen billion, two hundred twenty-three million, twenty-two thousand, one hundred".