200210222001100 has 72 divisors (see below), whose sum is σ = 448543239395328. Its totient is φ = 77488229582400.

The previous prime is 200210222001079. The next prime is 200210222001103. The reversal of 200210222001100 is 1100222012002.

It is a happy number.

200210222001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200210222001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14023437 + ... + 24435163.

It is an arithmetic number, because the mean of its divisors is an integer number (6229767213824).

Almost surely, 2^{200210222001100} is an apocalyptic number.

200210222001100 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 200210222001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224271619697664).

200210222001100 is an abundant number, since it is smaller than the sum of its proper divisors (248333017394228).

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

200210222001100 is a wasteful number, since it uses less digits than its factorization.

200210222001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417975 (or 10417968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200210222001100 its reverse (1100222012002), we get a palindrome (201310444013102).

The spelling of 200210222001100 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one thousand, one hundred".