123210312100 has 72 divisors (see below), whose sum is σ = 269977095360. Its totient is φ = 48805115520.

The previous prime is 123210312061. The next prime is 123210312143. The reversal of 123210312100 is 1213012321.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4478587 + ... + 4506013.

It is an arithmetic number, because the mean of its divisors is an integer number (3749681880).

Almost surely, 2^123210312100 is an apocalyptic number.

123210312100 is a gapful number since it is divisible by the number (10) 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 123210312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134988547680).

123210312100 is an abundant number, since it is smaller than the sum of its proper divisors (146766783260).

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

123210312100 is a wasteful number, since it uses less digits than its factorization.

123210312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27877 (or 27870 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123210312100 its reverse (1213012321), we get a palindrome (124423324421).

The spelling of 123210312100 in words is "one hundred twenty-three billion, two hundred ten million, three hundred twelve thousand, one hundred".