221212102120200 has 72 divisors (see below), whose sum is σ = 742903976293050. Its totient is φ = 58989893898240.

The previous prime is 221212102120187. The next prime is 221212102120211. The reversal of 221212102120200 is 2021201212122.

It is a happy number.

221212102120200 is a `hidden beast` number, since 2 + 21 + 21 + 210 + 212 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 141268010326884 + 79944091793316 = 11885622^2 + 8941146^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 17 ways as a sum of consecutive naturals, for example, 61447804345 + ... + 61447807944.

Almost surely, 2^{221212102120200} is an apocalyptic number.

221212102120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212102120200 is an abundant number, since it is smaller than the sum of its proper divisors (521691874172850).

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

221212102120200 is a wasteful number, since it uses less digits than its factorization.

221212102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122895612311 (or 122895612299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221212102120200 its reverse (2021201212122), we get a palindrome (223233303332322).

The spelling of 221212102120200 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred two million, one hundred twenty thousand, two hundred".