200210001120 has 144 divisors (see below), whose sum is σ = 719175497040. Its totient is φ = 50579361792.

The previous prime is 200210001083. The next prime is 200210001127. The reversal of 200210001120 is 21100012002.

200210001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631449 + ... + 3686168.

It is an arithmetic number, because the mean of its divisors is an integer number (4994274285).

Almost surely, 2^200210001120 is an apocalyptic number.

200210001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210001120 is an abundant number, since it is smaller than the sum of its proper divisors (518965495920).

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

200210001120 is a wasteful number, since it uses less digits than its factorization.

200210001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317657 (or 7317646 counting only the distinct ones).

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

Adding to 200210001120 its reverse (21100012002), we get a palindrome (221310013122).

The spelling of 200210001120 in words is "two hundred billion, two hundred ten million, one thousand, one hundred twenty".