202121200120 has 128 divisors (see below), whose sum is σ = 550633023360. Its totient is φ = 65184399360.

The previous prime is 202121200111. The next prime is 202121200121. The reversal of 202121200120 is 21002121202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202121200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121200121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8846952 + ... + 8869768.

It is an arithmetic number, because the mean of its divisors is an integer number (4301820495).

Almost surely, 2^202121200120 is an apocalyptic number.

202121200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275316511680).

202121200120 is an abundant number, since it is smaller than the sum of its proper divisors (348511823240).

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

202121200120 is a wasteful number, since it uses less digits than its factorization.

202121200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24713 (or 24709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202121200120 its reverse (21002121202), we get a palindrome (223123321322).

The spelling of 202121200120 in words is "two hundred two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty".