202002121210120 has 512 divisors, whose sum is σ = 579010800476160. Its totient is φ = 61608314880000.

The previous prime is 202002121210111. The next prime is 202002121210193. The reversal of 202002121210120 is 21012121200202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202002121210094 and 202002121210103.

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 127 ways as a sum of consecutive naturals, for example, 8566296730 + ... + 8566320310.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880469680).

Almost surely, 2^{202002121210120} is an apocalyptic number.

202002121210120 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 202002121210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289505400238080).

202002121210120 is an abundant number, since it is smaller than the sum of its proper divisors (377008679266040).

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

202002121210120 is a wasteful number, since it uses less digits than its factorization.

202002121210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24037 (or 24033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202002121210120 its reverse (21012121200202), we get a palindrome (223014242410322).

The spelling of 202002121210120 in words is "two hundred two trillion, two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".