211221212220200 has 96 divisors (see below), whose sum is σ = 604417622712960. Its totient is φ = 66848031993600.

The previous prime is 211221212220199. The next prime is 211221212220241. The reversal of 211221212220200 is 2022212122112.

It is a super-2 number, since 2×211221212220200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 5802762356 + ... + 5802798755.

It is an arithmetic number, because the mean of its divisors is an integer number (6296016903260).

Almost surely, 2^{211221212220200} is an apocalyptic number.

211221212220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221212220200 is an abundant number, since it is smaller than the sum of its proper divisors (393196410492760).

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

211221212220200 is a wasteful number, since it uses less digits than its factorization.

211221212220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11605561147 (or 11605561138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211221212220200 its reverse (2022212122112), we get a palindrome (213243424342312).

The spelling of 211221212220200 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, two hundred".