200210022011100 has 288 divisors, whose sum is σ = 640372694524416. Its totient is φ = 48037321728000.

The previous prime is 200210022011063. The next prime is 200210022011143. The reversal of 200210022011100 is 1110220012002.

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 95 ways as a sum of consecutive naturals, for example, 210783447 + ... + 211731153.

It is an arithmetic number, because the mean of its divisors is an integer number (2223516300432).

Almost surely, 2^{200210022011100} is an apocalyptic number.

200210022011100 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 200210022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320186347262208).

200210022011100 is an abundant number, since it is smaller than the sum of its proper divisors (440162672513316).

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

200210022011100 is a wasteful number, since it uses less digits than its factorization.

200210022011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949565 (or 949558 counting only the distinct ones).

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

Adding to 200210022011100 its reverse (1110220012002), we get a palindrome (201320242023102).

The spelling of 200210022011100 in words is "two hundred trillion, two hundred ten billion, twenty-two million, eleven thousand, one hundred".