12201100010213 has 2 divisors, whose sum is σ = 12201100010214. Its totient is φ = 12201100010212.

The previous prime is 12201100010159. The next prime is 12201100010257. The reversal of 12201100010213 is 31201000110221.

12201100010213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8022047911684 + 4179052098529 = 2832322^2 + 2044273^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201100010213 - 2²⁴ = 12201083232997 is a prime.

It is a super-3 number, since 3×12201100010213³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201100010293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100550005106 + 6100550005107.

It is an arithmetic number, because the mean of its divisors is an integer number (6100550005107).

Almost surely, 2^{12201100010213} is an apocalyptic number.

It is an amenable number.

12201100010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201100010213 is an equidigital number, since it uses as much as digits as its factorization.

12201100010213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12201100010213 its reverse (31201000110221), we get a palindrome (43402100120434).

The spelling of 12201100010213 in words is "twelve trillion, two hundred one billion, one hundred million, ten thousand, two hundred thirteen".