101200212013 has 2 divisors, whose sum is σ = 101200212014. Its totient is φ = 101200212012.

The previous prime is 101200211989. The next prime is 101200212049. The reversal of 101200212013 is 310212002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55989970884 + 45210241129 = 236622^2 + 212627^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200212013 - 2⁹ = 101200211501 is a prime.

It is a super-2 number, since 2×101200212013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200211984 and 101200212002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200212053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600106006 + 50600106007.

It is an arithmetic number, because the mean of its divisors is an integer number (50600106007).

Almost surely, 2^101200212013 is an apocalyptic number.

It is an amenable number.

101200212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200212013 is an equidigital number, since it uses as much as digits as its factorization.

101200212013 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 101200212013 its reverse (310212002101), we get a palindrome (411412214114).

The spelling of 101200212013 in words is "one hundred one billion, two hundred million, two hundred twelve thousand, thirteen".