200221212122100 has 216 divisors, whose sum is σ = 692342163770712. Its totient is φ = 48083142758400.

The previous prime is 200221212122083. The next prime is 200221212122111. The reversal of 200221212122100 is 1221212122002.

It is a happy number.

200221212122100 is a `hidden beast` number, since 2 + 0 + 0 + 221 + 21 + 212 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 155953241039376 + 44267971082724 = 12488124^2 + 6653418^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208214497 + ... + 209173896.

Almost surely, 2^{200221212122100} is an apocalyptic number.

200221212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221212122100 is an abundant number, since it is smaller than the sum of its proper divisors (492120951648612).

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

200221212122100 is a wasteful number, since it uses less digits than its factorization.

200221212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417388467 (or 417388457 counting only the distinct ones).

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

Adding to 200221212122100 its reverse (1221212122002), we get a palindrome (201442424244102).

The spelling of 200221212122100 in words is "two hundred trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".