100123222013 has 8 divisors (see below), whose sum is σ = 103883103480. Its totient is φ = 96383831040.

The previous prime is 100123221973. The next prime is 100123222019. The reversal of 100123222013 is 310222321001.

It can be written as a sum of positive squares in 4 ways, for example, as 16655967364 + 83467254649 = 129058^2 + 288907^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100123222013 - 2³⁴ = 82943352829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100123221982 and 100123222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123222019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5112668 + ... + 5132213.

It is an arithmetic number, because the mean of its divisors is an integer number (12985387935).

Almost surely, 2^100123222013 is an apocalyptic number.

It is an amenable number.

100123222013 is a deficient number, since it is larger than the sum of its proper divisors (3759881467).

100123222013 is a wasteful number, since it uses less digits than its factorization.

100123222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245247.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100123222013 its reverse (310222321001), we get a palindrome (410345543014).

The spelling of 100123222013 in words is "one hundred billion, one hundred twenty-three million, two hundred twenty-two thousand, thirteen".