12100221000013 has 2 divisors, whose sum is σ = 12100221000014. Its totient is φ = 12100221000012.

The previous prime is 12100220999981. The next prime is 12100221000107. The reversal of 12100221000013 is 31000012200121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7245130455684 + 4855090544329 = 2691678^2 + 2203427^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100221000013 - 2⁵ = 12100220999981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100220999957 and 12100221000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100221001013) 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 as a sum of consecutive naturals, namely, 6050110500006 + 6050110500007.

It is an arithmetic number, because the mean of its divisors is an integer number (6050110500007).

Almost surely, 2^{12100221000013} is an apocalyptic number.

It is an amenable number.

12100221000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100221000013 is an equidigital number, since it uses as much as digits as its factorization.

12100221000013 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 13.

Adding to 12100221000013 its reverse (31000012200121), we get a palindrome (43100233200134).

The spelling of 12100221000013 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, thirteen", and thus it is an aban number.