10200222200257 has 2 divisors, whose sum is σ = 10200222200258. Its totient is φ = 10200222200256.

The previous prime is 10200222200137. The next prime is 10200222200269. The reversal of 10200222200257 is 75200222200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9440926066881 + 759296133376 = 3072609^2 + 871376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200222200257 - 2¹⁵ = 10200222167489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200222200657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100111100128 + 5100111100129.

It is an arithmetic number, because the mean of its divisors is an integer number (5100111100129).

Almost surely, 2^{10200222200257} is an apocalyptic number.

It is an amenable number.

10200222200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200222200257 is an equidigital number, since it uses as much as digits as its factorization.

10200222200257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 25.

Adding to 10200222200257 its reverse (75200222200201), we get a palindrome (85400444400458).

The spelling of 10200222200257 in words is "ten trillion, two hundred billion, two hundred twenty-two million, two hundred thousand, two hundred fifty-seven".