100101000100123 has 24 divisors (see below), whose sum is σ = 110850733790720. Its totient is φ = 90321124172400.

The previous prime is 100101000100117. The next prime is 100101000100159. The reversal of 100101000100123 is 321001000101001.

It is a de Polignac number, because none of the positive numbers 2^k-100101000100123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101000100723) 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 23 ways as a sum of consecutive naturals, for example, 59841118 + ... + 61491148.

Almost surely, 2^{100101000100123} is an apocalyptic number.

100101000100123 is a deficient number, since it is larger than the sum of its proper divisors (10749733690597).

100101000100123 is a wasteful number, since it uses less digits than its factorization.

100101000100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653799 (or 1653788 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100101000100123 its reverse (321001000101001), we get a palindrome (421102000201124).

The spelling of 100101000100123 in words is "one hundred trillion, one hundred one billion, one hundred thousand, one hundred twenty-three".