221121122110200 has 288 divisors, whose sum is σ = 807058294442400. Its totient is φ = 53930457953280.

The previous prime is 221121122110181. The next prime is 221121122110201. The reversal of 221121122110200 is 2011221121122.

221121122110200 is a `hidden beast` number, since 2 + 21 + 1 + 211 + 221 + 10 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121122110201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40796284 + ... + 45897483.

Almost surely, 2^{221121122110200} is an apocalyptic number.

221121122110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121122110200 is an abundant number, since it is smaller than the sum of its proper divisors (585937172332200).

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

221121122110200 is a wasteful number, since it uses less digits than its factorization.

221121122110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86693911 (or 86693899 counting only the distinct ones).

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

Adding to 221121122110200 its reverse (2011221121122), we get a palindrome (223132343231322).

The spelling of 221121122110200 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two hundred".