100220111122013 has 2 divisors, whose sum is σ = 100220111122014. Its totient is φ = 100220111122012.

The previous prime is 100220111122007. The next prime is 100220111122037. The reversal of 100220111122013 is 310221111022001.

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., 66476594409124 + 33743516712889 = 8153318^2 + 5808917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220111122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100220111121982 and 100220111122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220111122613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110055561006 + 50110055561007.

It is an arithmetic number, because the mean of its divisors is an integer number (50110055561007).

Almost surely, 2^{100220111122013} is an apocalyptic number.

It is an amenable number.

100220111122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220111122013 is an equidigital number, since it uses as much as digits as its factorization.

100220111122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100220111122013 its reverse (310221111022001), we get a palindrome (410441222144014).

The spelling of 100220111122013 in words is "one hundred trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, thirteen".