200201222020100 has 108 divisors (see below), whose sum is σ = 510001463012580. Its totient is φ = 68010690182400.

The previous prime is 200201222020087. The next prime is 200201222020103. The reversal of 200201222020100 is 1020222102002.

It can be written as a sum of positive squares in 6 ways, for example, as 119461479424 + 200081760540676 = 345632^2 + 14145026^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200201222020103) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 186885131 + ... + 187953330.

It is an arithmetic number, because the mean of its divisors is an integer number (4722235768635).

Almost surely, 2^{200201222020100} is an apocalyptic number.

200201222020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201222020100 is an abundant number, since it is smaller than the sum of its proper divisors (309800240992480).

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

200201222020100 is a wasteful number, since it uses less digits than its factorization.

200201222020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374838598 (or 374838584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200201222020100 its reverse (1020222102002), we get a palindrome (201221444122102).

The spelling of 200201222020100 in words is "two hundred trillion, two hundred one billion, two hundred twenty-two million, twenty thousand, one hundred".