102203100083113 has 2 divisors, whose sum is σ = 102203100083114. Its totient is φ = 102203100083112.

The previous prime is 102203100083107. The next prime is 102203100083153. The reversal of 102203100083113 is 311380001302201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92693820384169 + 9509279698944 = 9627763^2 + 3083712^2 .

It is a cyclic number.

It is not a de Polignac number, because 102203100083113 - 2²⁹ = 102202563212201 is a prime.

It is not a weakly prime, because it can be changed into another prime (102203100083153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101550041556 + 51101550041557.

It is an arithmetic number, because the mean of its divisors is an integer number (51101550041557).

Almost surely, 2^{102203100083113} is an apocalyptic number.

It is an amenable number.

102203100083113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102203100083113 is an equidigital number, since it uses as much as digits as its factorization.

102203100083113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102203100083113 its reverse (311380001302201), we get a palindrome (413583101385314).

The spelling of 102203100083113 in words is "one hundred two trillion, two hundred three billion, one hundred million, eighty-three thousand, one hundred thirteen".