200200211000100 has 216 divisors, whose sum is σ = 639721360415592. Its totient is φ = 52349524531200.

The previous prime is 200200211000087. The next prime is 200200211000143. The reversal of 200200211000100 is 1000112002002.

It can be written as a sum of positive squares in 12 ways, for example, as 146974548369636 + 53225662630464 = 12123306^2 + 7295592^2 .

It is a super-2 number, since 2×200200211000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82420990 + ... + 84815210.

It is an arithmetic number, because the mean of its divisors is an integer number (2961672964887).

Almost surely, 2^{200200211000100} is an apocalyptic number.

200200211000100 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 200200211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319860680207796).

200200211000100 is an abundant number, since it is smaller than the sum of its proper divisors (439521149415492).

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

200200211000100 is a wasteful number, since it uses less digits than its factorization.

200200211000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396047 (or 2396037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200200211000100 its reverse (1000112002002), we get a palindrome (201200323002102).

The spelling of 200200211000100 in words is "two hundred trillion, two hundred billion, two hundred eleven million, one hundred", and thus it is an aban number.