100110222013 has 8 divisors (see below), whose sum is σ = 106228999800. Its totient is φ = 94016993280.

The previous prime is 100110221977. The next prime is 100110222029. The reversal of 100110222013 is 310222011001.

It can be written as a sum of positive squares in 4 ways, for example, as 25966744164 + 74143477849 = 161142^2 + 272293^2 .

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 100110222013 - 2³³ = 91520287421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110221984 and 100110222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110222913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6379188 + ... + 6394861.

It is an arithmetic number, because the mean of its divisors is an integer number (13278624975).

Almost surely, 2^100110222013 is an apocalyptic number.

It is an amenable number.

100110222013 is a deficient number, since it is larger than the sum of its proper divisors (6118777787).

100110222013 is a wasteful number, since it uses less digits than its factorization.

100110222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12774527.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100110222013 its reverse (310222011001), we get a palindrome (410332233014).

The spelling of 100110222013 in words is "one hundred billion, one hundred ten million, two hundred twenty-two thousand, thirteen".