210123102133120 has 128 divisors (see below), whose sum is σ = 549175074785280. Its totient is φ = 76243370649600.

The previous prime is 210123102133103. The next prime is 210123102133121. The reversal of 210123102133120 is 21331201321012.

210123102133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210123102133091 and 210123102133100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210123102133121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28972696 + ... + 35491735.

It is an arithmetic number, because the mean of its divisors is an integer number (4290430271760).

Almost surely, 2^{210123102133120} is an apocalyptic number.

210123102133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210123102133120 is an abundant number, since it is smaller than the sum of its proper divisors (339051972652160).

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

210123102133120 is a wasteful number, since it uses less digits than its factorization.

210123102133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64464924 (or 64464912 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 210123102133120 its reverse (21331201321012), we get a palindrome (231454303454132).

The spelling of 210123102133120 in words is "two hundred ten trillion, one hundred twenty-three billion, one hundred two million, one hundred thirty-three thousand, one hundred twenty".