200201020101120 has 160 divisors (see below), whose sum is σ = 640858676705280. Its totient is φ = 53316783472640.

The previous prime is 200201020101119. The next prime is 200201020101169. The reversal of 200201020101120 is 21101020102002.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 200201020101096 and 200201020101105.

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 15 ways as a sum of consecutive naturals, for example, 11282880 + ... + 22971839.

It is an arithmetic number, because the mean of its divisors is an integer number (4005366729408).

Almost surely, 2^{200201020101120} is an apocalyptic number.

200201020101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201020101120 is an abundant number, since it is smaller than the sum of its proper divisors (440657656604160).

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

200201020101120 is an equidigital number, since it uses as much as digits as its factorization.

200201020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34255506 (or 34255490 counting only the distinct ones).

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

Adding to 200201020101120 its reverse (21101020102002), we get a palindrome (221302040203122).

The spelling of 200201020101120 in words is "two hundred trillion, two hundred one billion, twenty million, one hundred one thousand, one hundred twenty".