102113112210337 has 2 divisors, whose sum is σ = 102113112210338. Its totient is φ = 102113112210336.

The previous prime is 102113112210299. The next prime is 102113112210341. The reversal of 102113112210337 is 733012211311201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91278323652961 + 10834788557376 = 9553969^2 + 3291624^2 .

It is a cyclic number.

It is not a de Polignac number, because 102113112210337 - 2¹⁹ = 102113111686049 is a prime.

It is not a weakly prime, because it can be changed into another prime (102113112216337) 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, 51056556105168 + 51056556105169.

It is an arithmetic number, because the mean of its divisors is an integer number (51056556105169).

Almost surely, 2^{102113112210337} is an apocalyptic number.

It is an amenable number.

102113112210337 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113112210337 is an equidigital number, since it uses as much as digits as its factorization.

102113112210337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 102113112210337 its reverse (733012211311201), we get a palindrome (835125323521538).

The spelling of 102113112210337 in words is "one hundred two trillion, one hundred thirteen billion, one hundred twelve million, two hundred ten thousand, three hundred thirty-seven".