200122210110200 has 192 divisors, whose sum is σ = 536265214329600. Its totient is φ = 68033356646400.

The previous prime is 200122210110191. The next prime is 200122210110217. The reversal of 200122210110200 is 2011012221002.

200122210110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200122210110200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85807520 + ... + 88108880.

It is an arithmetic number, because the mean of its divisors is an integer number (2793047991300).

Almost surely, 2^{200122210110200} is an apocalyptic number.

200122210110200 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 200122210110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268132607164800).

200122210110200 is an abundant number, since it is smaller than the sum of its proper divisors (336143004219400).

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

200122210110200 is a wasteful number, since it uses less digits than its factorization.

200122210110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301910 (or 2301901 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200122210110200 its reverse (2011012221002), we get a palindrome (202133222331202).

The spelling of 200122210110200 in words is "two hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred ten thousand, two hundred".