200101222000000 has 224 divisors, whose sum is σ = 498839356962000. Its totient is φ = 79952659200000.

The previous prime is 200101221999859. The next prime is 200101222000013. The reversal of 200101222000000 is 222101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 27 ways as a sum of consecutive naturals, for example, 1837945566 + ... + 1838054434.

Almost surely, 2^{200101222000000} is an apocalyptic number.

200101222000000 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 200101222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249419678481000).

200101222000000 is an abundant number, since it is smaller than the sum of its proper divisors (298738134962000).

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

200101222000000 is an frugal number, since it uses more digits than its factorization.

200101222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109832 (or 109795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200101222000000 its reverse (222101002), we get a palindrome (200101444101002).

The spelling of 200101222000000 in words is "two hundred trillion, one hundred one billion, two hundred twenty-two million", and thus it is an aban number.