211221211120200 has 144 divisors (see below), whose sum is σ = 709794311300100. Its totient is φ = 56290473984000.

The previous prime is 211221211120109. The next prime is 211221211120217. The reversal of 211221211120200 is 2021112122112.

211221211120200 is a `hidden beast` number, since 2 + 11 + 221 + 211 + 1 + 20 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 82811565207396 + 128409645912804 = 9100086^2 + 11331798^2 .

It is a super-2 number, since 2×211221211120200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33765645 + ... + 39529244.

Almost surely, 2^{211221211120200} is an apocalyptic number.

211221211120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221211120200 is an abundant number, since it is smaller than the sum of its proper divisors (498573100179900).

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

211221211120200 is a wasteful number, since it uses less digits than its factorization.

211221211120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73296512 (or 73296500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211221211120200 its reverse (2021112122112), we get a palindrome (213242323242312).

The spelling of 211221211120200 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, two hundred".