102100222313 has 2 divisors, whose sum is σ = 102100222314. Its totient is φ = 102100222312.

The previous prime is 102100222303. The next prime is 102100222319. The reversal of 102100222313 is 313222001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88846917184 + 13253305129 = 298072^2 + 115123^2 .

It is an emirp because it is prime and its reverse (313222001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100222313 - 2⁶ = 102100222249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100222291 and 102100222300.

It is not a weakly prime, because it can be changed into another prime (102100222319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050111156 + 51050111157.

It is an arithmetic number, because the mean of its divisors is an integer number (51050111157).

Almost surely, 2^102100222313 is an apocalyptic number.

It is an amenable number.

102100222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100222313 is an equidigital number, since it uses as much as digits as its factorization.

102100222313 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 102100222313 its reverse (313222001201), we get a palindrome (415322223514).

The spelling of 102100222313 in words is "one hundred two billion, one hundred million, two hundred twenty-two thousand, three hundred thirteen".