100131123222123 has 32 divisors (see below), whose sum is σ = 158201714457600. Its totient is φ = 55118915220096.

The previous prime is 100131123222089. The next prime is 100131123222139. The reversal of 100131123222123 is 321222321131001.

It is not a de Polignac number, because 100131123222123 - 2²⁸ = 100130854786667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131123222093 and 100131123222102.

It is not an unprimeable number, because it can be changed into a prime (100131123222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186997936 + ... + 187532637.

It is an arithmetic number, because the mean of its divisors is an integer number (4943803576800).

Almost surely, 2^{100131123222123} is an apocalyptic number.

100131123222123 is a deficient number, since it is larger than the sum of its proper divisors (58070591235477).

100131123222123 is a wasteful number, since it uses less digits than its factorization.

100131123222123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374531051.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100131123222123 its reverse (321222321131001), we get a palindrome (421353444353124).

The spelling of 100131123222123 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty-three".