123321311021100 has 288 divisors, whose sum is σ = 383617616901120. Its totient is φ = 30489027747840.

The previous prime is 123321311020993. The next prime is 123321311021173. The reversal of 123321311021100 is 1120113123321.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4312372002 + ... + 4312400598.

It is an arithmetic number, because the mean of its divisors is an integer number (1332005614240).

Almost surely, 2^{123321311021100} is an apocalyptic number.

123321311021100 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 123321311021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191808808450560).

123321311021100 is an abundant number, since it is smaller than the sum of its proper divisors (260296305880020).

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

123321311021100 is a wasteful number, since it uses less digits than its factorization.

123321311021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44777 (or 44770 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 123321311021100 its reverse (1120113123321), we get a palindrome (124441424144421).

The spelling of 123321311021100 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, three hundred eleven million, twenty-one thousand, one hundred".