123302320010100 has 648 divisors, whose sum is σ = 485762004908544. Its totient is φ = 25607482560000.

The previous prime is 123302320010069. The next prime is 123302320010119. The reversal of 123302320010100 is 1010023203321.

123302320010100 is a `hidden beast` number, since 1 + 2 + 330 + 2 + 320 + 0 + 1 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1449089757 + ... + 1449174843.

Almost surely, 2^{123302320010100} is an apocalyptic number.

123302320010100 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 123302320010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242881002454272).

123302320010100 is an abundant number, since it is smaller than the sum of its proper divisors (362459684898444).

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

123302320010100 is a wasteful number, since it uses less digits than its factorization.

123302320010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87037 (or 87016 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123302320010100 its reverse (1010023203321), we get a palindrome (124312343213421).

The spelling of 123302320010100 in words is "one hundred twenty-three trillion, three hundred two billion, three hundred twenty million, ten thousand, one hundred".