101201111213 has 2 divisors, whose sum is σ = 101201111214. Its totient is φ = 101201111212.

The previous prime is 101201111147. The next prime is 101201111243. The reversal of 101201111213 is 312111102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62266718089 + 38934393124 = 249533^2 + 197318^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201111213 - 2¹⁶ = 101201045677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201111243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600555606 + 50600555607.

It is an arithmetic number, because the mean of its divisors is an integer number (50600555607).

Almost surely, 2^101201111213 is an apocalyptic number.

It is an amenable number.

101201111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201111213 is an equidigital number, since it uses as much as digits as its factorization.

101201111213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101201111213 its reverse (312111102101), we get a palindrome (413312213314).

The spelling of 101201111213 in words is "one hundred one billion, two hundred one million, one hundred eleven thousand, two hundred thirteen".