200221121700 has 180 divisors, whose sum is σ = 649693230340. Its totient is φ = 53338383360.

The previous prime is 200221121699. The next prime is 200221121701. The reversal of 200221121700 is 7121122002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200221121699) and next prime (200221121701).

It can be written as a sum of positive squares in 6 ways, for example, as 12725193636 + 187495928064 = 112806^2 + 433008^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (200221121701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8355336 + ... + 8379264.

Almost surely, 2^200221121700 is an apocalyptic number.

200221121700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200221121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324846615170).

200221121700 is an abundant number, since it is smaller than the sum of its proper divisors (449472108640).

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

200221121700 is a wasteful number, since it uses less digits than its factorization.

200221121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24988 (or 24972 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 200221121700 its reverse (7121122002), we get a palindrome (207342243702).

The spelling of 200221121700 in words is "two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, seven hundred".