200221121100000 has 1152 divisors, whose sum is σ = 882037919960064. Its totient is φ = 38403993600000.

The previous prime is 200221121099983. The next prime is 200221121100019. The reversal of 200221121100000 is 1121122002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299966632 + ... + 300633368.

It is an arithmetic number, because the mean of its divisors is an integer number (765657916632).

Almost surely, 2^{200221121100000} is an apocalyptic number.

200221121100000 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 200221121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441018959980032).

200221121100000 is an abundant number, since it is smaller than the sum of its proper divisors (681816798860064).

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

200221121100000 is a wasteful number, since it uses less digits than its factorization.

200221121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666806 (or 666778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200221121100000 its reverse (1121122002), we get a palindrome (200222242222002).

It can be divided in two parts, 20022112 and 1100000, that added together give a palindrome (21122112).

The spelling of 200221121100000 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand".