211433024100 has 144 divisors (see below), whose sum is σ = 644269875200. Its totient is φ = 53387579520.

The previous prime is 211433024093. The next prime is 211433024113. The reversal of 211433024100 is 1420334112.

211433024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 12754017 + ... + 12770583.

Almost surely, 2^211433024100 is an apocalyptic number.

211433024100 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 211433024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322134937600).

211433024100 is an abundant number, since it is smaller than the sum of its proper divisors (432836851100).

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

211433024100 is a wasteful number, since it uses less digits than its factorization.

211433024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18842 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211433024100 its reverse (1420334112), we get a palindrome (212853358212).

The spelling of 211433024100 in words is "two hundred eleven billion, four hundred thirty-three million, twenty-four thousand, one hundred".