211682808100 has 81 divisors (see below), whose sum is σ = 464082205041. Its totient is φ = 83809994400.

The previous prime is 211682808097. The next prime is 211682808167. The reversal of 211682808100 is 1808286112.

It is a happy number.

The square root of 211682808100 is 460090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76205810916 + 135476997184 = 276054^2 + 368072^2 .

It is a super-2 number, since 2×211682808100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211682808100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 639524935 + ... + 639525265.

Almost surely, 2^211682808100 is an apocalyptic number.

211682808100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211682808100 is the 460090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211682808100

211682808100 is an abundant number, since it is smaller than the sum of its proper divisors (252399396941).

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

211682808100 is an equidigital number, since it uses as much as digits as its factorization.

211682808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The spelling of 211682808100 in words is "two hundred eleven billion, six hundred eighty-two million, eight hundred eight thousand, one hundred".