10200111222241 has 2 divisors, whose sum is σ = 10200111222242. Its totient is φ = 10200111222240.

The previous prime is 10200111222199. The next prime is 10200111222281. The reversal of 10200111222241 is 14222211100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5405062364641 + 4795048857600 = 2324879^2 + 2189760^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200111222241 - 2²³ = 10200102833633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200111222281) 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, 5100055611120 + 5100055611121.

It is an arithmetic number, because the mean of its divisors is an integer number (5100055611121).

Almost surely, 2^{10200111222241} is an apocalyptic number.

It is an amenable number.

10200111222241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200111222241 is an equidigital number, since it uses as much as digits as its factorization.

10200111222241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10200111222241 its reverse (14222211100201), we get a palindrome (24422322322442).

The spelling of 10200111222241 in words is "ten trillion, two hundred billion, one hundred eleven million, two hundred twenty-two thousand, two hundred forty-one".