211011212200 has 72 divisors (see below), whose sum is σ = 498777314490. Its totient is φ = 83020512000.

The previous prime is 211011212197. The next prime is 211011212281. The reversal of 211011212200 is 2212110112.

It can be written as a sum of positive squares in 9 ways, for example, as 5945335236 + 205065876964 = 77106^2 + 452842^2 .

It is a super-2 number, since 2×211011212200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 602430 + ... + 885970.

Almost surely, 2^211011212200 is an apocalyptic number.

211011212200 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 211011212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249388657245).

211011212200 is an abundant number, since it is smaller than the sum of its proper divisors (287766102290).

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

211011212200 is a wasteful number, since it uses less digits than its factorization.

211011212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283679 (or 283609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211011212200 its reverse (2212110112), we get a palindrome (213223322312).

The spelling of 211011212200 in words is "two hundred eleven billion, eleven million, two hundred twelve thousand, two hundred".