100222013 has 2 divisors, whose sum is σ = 100222014. Its totient is φ = 100222012.

The previous prime is 100222009. The next prime is 100222027. The reversal of 100222013 is 310222001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97574884 + 2647129 = 9878^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222013 - 2² = 100222009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221985 and 100222003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100227013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111006 + 50111007.

It is an arithmetic number, because the mean of its divisors is an integer number (50111007).

Almost surely, 2^100222013 is an apocalyptic number.

It is an amenable number.

100222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222013 is an equidigital number, since it uses as much as digits as its factorization.

100222013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100222013 is about 10011.0944956084. The cubic root of 100222013 is about 464.5021271584.

Adding to 100222013 its reverse (310222001), we get a palindrome (410444014).

The spelling of 100222013 in words is "one hundred million, two hundred twenty-two thousand, thirteen".