201221002002120 has 32 divisors (see below), whose sum is σ = 603663006006720. Its totient is φ = 53658933867200.

The previous prime is 201221002002113. The next prime is 201221002002127. The reversal of 201221002002120 is 21200200122102.

It is an interprime number because it is at equal distance from previous prime (201221002002113) and next prime (201221002002127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201221002002120.

It is not an unprimeable number, because it can be changed into a prime (201221002002127) 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 7 ways as a sum of consecutive naturals, for example, 838420841556 + ... + 838420841795.

It is an arithmetic number, because the mean of its divisors is an integer number (18864468937710).

Almost surely, 2^{201221002002120} is an apocalyptic number.

201221002002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221002002120 is an abundant number, since it is smaller than the sum of its proper divisors (402442004004600).

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

201221002002120 is a wasteful number, since it uses less digits than its factorization.

201221002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676841683365 (or 1676841683361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201221002002120 its reverse (21200200122102), we get a palindrome (222421202124222).

The spelling of 201221002002120 in words is "two hundred one trillion, two hundred twenty-one billion, two million, two thousand, one hundred twenty".