200201011220100 has 576 divisors, whose sum is σ = 639251585280000. Its totient is φ = 47973548851200.

The previous prime is 200201011220081. The next prime is 200201011220237. The reversal of 200201011220100 is 1022110102002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86704637746 + ... + 86704640054.

It is an arithmetic number, because the mean of its divisors is an integer number (1109811780000).

Almost surely, 2^{200201011220100} is an apocalyptic number.

200201011220100 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 200201011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319625792640000).

200201011220100 is an abundant number, since it is smaller than the sum of its proper divisors (439050574059900).

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

200201011220100 is a wasteful number, since it uses less digits than its factorization.

200201011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3301 counting only the distinct ones).

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

Adding to 200201011220100 its reverse (1022110102002), we get a palindrome (201223121322102).

The spelling of 200201011220100 in words is "two hundred trillion, two hundred one billion, eleven million, two hundred twenty thousand, one hundred".