102200300201213 has 2 divisors, whose sum is σ = 102200300201214. Its totient is φ = 102200300201212.

The previous prime is 102200300201203. The next prime is 102200300201239. The reversal of 102200300201213 is 312102003002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90347724440164 + 11852575761049 = 9505142^2 + 3442757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200300201213 is a prime.

It is a super-2 number, since 2×102200300201213² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200300201191 and 102200300201200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200300201203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100150100606 + 51100150100607.

It is an arithmetic number, because the mean of its divisors is an integer number (51100150100607).

Almost surely, 2^{102200300201213} is an apocalyptic number.

It is an amenable number.

102200300201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200300201213 is an equidigital number, since it uses as much as digits as its factorization.

102200300201213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102200300201213 its reverse (312102003002201), we get a palindrome (414302303203414).

The spelling of 102200300201213 in words is "one hundred two trillion, two hundred billion, three hundred million, two hundred one thousand, two hundred thirteen".