213201100 has 72 divisors (see below), whose sum is σ = 537514208. Its totient is φ = 71884800.

The previous prime is 213201091. The next prime is 213201101. The reversal of 213201100 is 1102312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (213201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40204 + ... + 45196.

Almost surely, 2^213201100 is an apocalyptic number.

213201100 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 213201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268757104).

213201100 is an abundant number, since it is smaller than the sum of its proper divisors (324313108).

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

213201100 is a wasteful number, since it uses less digits than its factorization.

213201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 213201100 is about 14601.4074664054. The cubic root of 213201100 is about 597.3971508810.

Adding to 213201100 its reverse (1102312), we get a palindrome (214303412).

The spelling of 213201100 in words is "two hundred thirteen million, two hundred one thousand, one hundred".