213212210223100 has 144 divisors (see below), whose sum is σ = 531314412451200. Its totient is φ = 73448587296000.

The previous prime is 213212210223059. The next prime is 213212210223101. The reversal of 213212210223100 is 1322012212312.

It is a super-2 number, since 2×213212210223100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212210223101) 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, 674096791 + ... + 674413009.

It is an arithmetic number, because the mean of its divisors is an integer number (3689683419800).

Almost surely, 2^{213212210223100} is an apocalyptic number.

213212210223100 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 213212210223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265657206225600).

213212210223100 is an abundant number, since it is smaller than the sum of its proper divisors (318102202228100).

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

213212210223100 is a wasteful number, since it uses less digits than its factorization.

213212210223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348524 (or 348517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213212210223100 its reverse (1322012212312), we get a palindrome (214534222435412).

The spelling of 213212210223100 in words is "two hundred thirteen trillion, two hundred twelve billion, two hundred ten million, two hundred twenty-three thousand, one hundred".