200201002120 has 64 divisors (see below), whose sum is σ = 514852692480. Its totient is φ = 68633661696.

The previous prime is 200201002103. The next prime is 200201002123. The reversal of 200201002120 is 21200102002.

200201002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200201002097 and 200201002106.

It is not an unprimeable number, because it can be changed into a prime (200201002123) 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 15 ways as a sum of consecutive naturals, for example, 3479022 + ... + 3536098.

It is an arithmetic number, because the mean of its divisors is an integer number (8044573320).

Almost surely, 2^200201002120 is an apocalyptic number.

200201002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201002120 is an abundant number, since it is smaller than the sum of its proper divisors (314651690360).

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

200201002120 is a wasteful number, since it uses less digits than its factorization.

200201002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69622 (or 69618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200201002120 its reverse (21200102002), we get a palindrome (221401104122).

The spelling of 200201002120 in words is "two hundred billion, two hundred one million, two thousand, one hundred twenty".