100442123431123 has 2 divisors, whose sum is σ = 100442123431124. Its totient is φ = 100442123431122.

The previous prime is 100442123431109. The next prime is 100442123431129. The reversal of 100442123431123 is 321134321244001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100442123431123 is a prime.

It is a super-3 number, since 3×100442123431123³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100442123431129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50221061715561 + 50221061715562.

It is an arithmetic number, because the mean of its divisors is an integer number (50221061715562).

Almost surely, 2^{100442123431123} is an apocalyptic number.

100442123431123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100442123431123 is an equidigital number, since it uses as much as digits as its factorization.

100442123431123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 100442123431123 its reverse (321134321244001), we get a palindrome (421576444675124).

The spelling of 100442123431123 in words is "one hundred trillion, four hundred forty-two billion, one hundred twenty-three million, four hundred thirty-one thousand, one hundred twenty-three".