102200100001213 has 2 divisors, whose sum is σ = 102200100001214. Its totient is φ = 102200100001212.

The previous prime is 102200100001201. The next prime is 102200100001231. The reversal of 102200100001213 is 312100001002201.

Together with next prime (102200100001231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101822186127204 + 377913874009 = 10090698^2 + 614747^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200100001213 - 2⁹ = 102200100000701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200100001193 and 102200100001202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200100001283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100050000606 + 51100050000607.

It is an arithmetic number, because the mean of its divisors is an integer number (51100050000607).

Almost surely, 2^{102200100001213} is an apocalyptic number.

It is an amenable number.

102200100001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200100001213 is an equidigital number, since it uses as much as digits as its factorization.

102200100001213 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 13.

Adding to 102200100001213 its reverse (312100001002201), we get a palindrome (414300101003414).

The spelling of 102200100001213 in words is "one hundred two trillion, two hundred billion, one hundred million, one thousand, two hundred thirteen".