123114113222100 has 2160 divisors, whose sum is σ = 495328531486656. Its totient is φ = 23450215219200.

The previous prime is 123114113222083. The next prime is 123114113222101. The reversal of 123114113222100 is 1222311411321.

123114113222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123114113222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 218675156419 + ... + 218675156981.

Almost surely, 2^{123114113222100} is an apocalyptic number.

123114113222100 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 123114113222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247664265743328).

123114113222100 is an abundant number, since it is smaller than the sum of its proper divisors (372214418264556).

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

123114113222100 is a wasteful number, since it uses less digits than its factorization.

123114113222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 123114113222100 its reverse (1222311411321), we get a palindrome (124336424633421).

The spelling of 123114113222100 in words is "one hundred twenty-three trillion, one hundred fourteen billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred".