100123112133 has 24 divisors (see below), whose sum is σ = 157836496896. Its totient is φ = 60655003200.

The previous prime is 100123112129. The next prime is 100123112137. The reversal of 100123112133 is 331211321001.

It is an interprime number because it is at equal distance from previous prime (100123112129) and next prime (100123112137).

It is not a de Polignac number, because 100123112133 - 2² = 100123112129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123112137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22588 + ... + 448058.

It is an arithmetic number, because the mean of its divisors is an integer number (6576520704).

Almost surely, 2^100123112133 is an apocalyptic number.

It is an amenable number.

100123112133 is a deficient number, since it is larger than the sum of its proper divisors (57713384763).

100123112133 is a wasteful number, since it uses less digits than its factorization.

100123112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427865 (or 427862 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100123112133 its reverse (331211321001), we get a palindrome (431334433134).

The spelling of 100123112133 in words is "one hundred billion, one hundred twenty-three million, one hundred twelve thousand, one hundred thirty-three".