100123121213 has 4 divisors (see below), whose sum is σ = 100212279168. Its totient is φ = 100033963260.

The previous prime is 100123121207. The next prime is 100123121237. The reversal of 100123121213 is 312121321001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100123121213 - 2⁸ = 100123120957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100123121191 and 100123121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123121243) 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 3 ways as a sum of consecutive naturals, for example, 44577293 + ... + 44579538.

It is an arithmetic number, because the mean of its divisors is an integer number (25053069792).

Almost surely, 2^100123121213 is an apocalyptic number.

It is an amenable number.

100123121213 is a deficient number, since it is larger than the sum of its proper divisors (89157955).

100123121213 is an equidigital number, since it uses as much as digits as its factorization.

100123121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89157954.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100123121213 its reverse (312121321001), we get a palindrome (412244442214).

The spelling of 100123121213 in words is "one hundred billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred thirteen".