213244552100 has 18 divisors (see below), whose sum is σ = 462740678274. Its totient is φ = 85297820800.

The previous prime is 213244552057. The next prime is 213244552163. The reversal of 213244552100 is 1255442312.

213244552100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37576271716 + 175668280384 = 193846^2 + 419128^2 .

It is a super-2 number, since 2×213244552100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1066222661 + ... + 1066222860.

Almost surely, 2^213244552100 is an apocalyptic number.

213244552100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213244552100 is an abundant number, since it is smaller than the sum of its proper divisors (249496126174).

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

213244552100 is a wasteful number, since it uses less digits than its factorization.

213244552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132445535 (or 2132445528 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 213244552100 its reverse (1255442312), we get a palindrome (214499994412).

The spelling of 213244552100 in words is "two hundred thirteen billion, two hundred forty-four million, five hundred fifty-two thousand, one hundred".