202120123300 has 144 divisors (see below), whose sum is σ = 449521228800. Its totient is φ = 78864822400.

The previous prime is 202120123291. The next prime is 202120123301. The reversal of 202120123300 is 3321021202.

202120123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202120123301) 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 47 ways as a sum of consecutive naturals, for example, 456252879 + ... + 456253321.

It is an arithmetic number, because the mean of its divisors is an integer number (3121675200).

Almost surely, 2^202120123300 is an apocalyptic number.

202120123300 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 202120123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224760614400).

202120123300 is an abundant number, since it is smaller than the sum of its proper divisors (247401105500).

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

202120123300 is a wasteful number, since it uses less digits than its factorization.

202120123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202120123300 its reverse (3321021202), we get a palindrome (205441144502).

The spelling of 202120123300 in words is "two hundred two billion, one hundred twenty million, one hundred twenty-three thousand, three hundred".