123122310100 has 36 divisors (see below), whose sum is σ = 276388364700. Its totient is φ = 47550684160.

The previous prime is 123122310089. The next prime is 123122310107. The reversal of 123122310100 is 1013221321.

123122310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 23647673284 + 99474636816 = 153778^2 + 315396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123122310107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21225085 + ... + 21230884.

It is an arithmetic number, because the mean of its divisors is an integer number (7677454575).

Almost surely, 2^123122310100 is an apocalyptic number.

123122310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123122310100 is an abundant number, since it is smaller than the sum of its proper divisors (153266054600).

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

123122310100 is a wasteful number, since it uses less digits than its factorization.

123122310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42456012 (or 42456005 counting only the distinct ones).

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

Adding to 123122310100 its reverse (1013221321), we get a palindrome (124135531421).

The spelling of 123122310100 in words is "one hundred twenty-three billion, one hundred twenty-two million, three hundred ten thousand, one hundred".