100122321123 has 24 divisors (see below), whose sum is σ = 162032525616. Its totient is φ = 59040187200.

The previous prime is 100122321113. The next prime is 100122321149. The reversal of 100122321123 is 321123221001.

100122321123 is a `hidden beast` number, since 100 + 122 + 321 + 123 = 666.

It is not a de Polignac number, because 100122321123 - 2²¹ = 100120223971 is a prime.

It is a super-2 number, since 2×100122321123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122321096 and 100122321105.

It is not an unprimeable number, because it can be changed into a prime (100122321113) by changing a digit.

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, 13663048 + ... + 13670373.

It is an arithmetic number, because the mean of its divisors is an integer number (6751355234).

Almost surely, 2^100122321123 is an apocalyptic number.

100122321123 is a deficient number, since it is larger than the sum of its proper divisors (61910204493).

100122321123 is a wasteful number, since it uses less digits than its factorization.

100122321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27333475 (or 27333472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100122321123 its reverse (321123221001), we get a palindrome (421245542124).

The spelling of 100122321123 in words is "one hundred billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty-three".