211302210100 has 36 divisors (see below), whose sum is σ = 463252887244. Its totient is φ = 83649530880.

The previous prime is 211302210083. The next prime is 211302210101. The reversal of 211302210100 is 1012203112.

211302210100 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 6 ways, for example, as 51995856676 + 159306353424 = 228026^2 + 399132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211302210101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10882167 + ... + 10901566.

Almost surely, 2^211302210100 is an apocalyptic number.

211302210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211302210100 is an abundant number, since it is smaller than the sum of its proper divisors (251950677144).

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

211302210100 is a wasteful number, since it uses less digits than its factorization.

211302210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21783844 (or 21783837 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211302210100 its reverse (1012203112), we get a palindrome (212314413212).

The spelling of 211302210100 in words is "two hundred eleven billion, three hundred two million, two hundred ten thousand, one hundred".