100123111001 has 4 divisors (see below), whose sum is σ = 103575632100. Its totient is φ = 96670589904.

The previous prime is 100123110973. The next prime is 100123111003. The reversal of 100123111001 is 100111321001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 68856384025 + 31266726976 = 262405^2 + 176824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100123111001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100123111003) 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, 1726260506 + ... + 1726260563.

It is an arithmetic number, because the mean of its divisors is an integer number (25893908025).

Almost surely, 2^100123111001 is an apocalyptic number.

It is an amenable number.

100123111001 is a deficient number, since it is larger than the sum of its proper divisors (3452521099).

100123111001 is an equidigital number, since it uses as much as digits as its factorization.

100123111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452521098.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100123111001 its reverse (100111321001), we get a palindrome (200234432002).

The spelling of 100123111001 in words is "one hundred billion, one hundred twenty-three million, one hundred eleven thousand, one".