102300333221257 has 2 divisors, whose sum is σ = 102300333221258. Its totient is φ = 102300333221256.

The previous prime is 102300333221179. The next prime is 102300333221327. The reversal of 102300333221257 is 752122333003201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80515159704576 + 21785173516681 = 8973024^2 + 4667459^2 .

It is a cyclic number.

It is not a de Polignac number, because 102300333221257 - 2¹¹ = 102300333219209 is a prime.

It is a super-2 number, since 2×102300333221257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102300333291257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51150166610628 + 51150166610629.

It is an arithmetic number, because the mean of its divisors is an integer number (51150166610629).

Almost surely, 2^{102300333221257} is an apocalyptic number.

It is an amenable number.

102300333221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102300333221257 is an equidigital number, since it uses as much as digits as its factorization.

102300333221257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 34.

Adding to 102300333221257 its reverse (752122333003201), we get a palindrome (854422666224458).

The spelling of 102300333221257 in words is "one hundred two trillion, three hundred billion, three hundred thirty-three million, two hundred twenty-one thousand, two hundred fifty-seven".