2223101136577 has 2 divisors, whose sum is σ = 2223101136578. Its totient is φ = 2223101136576.

The previous prime is 2223101136527. The next prime is 2223101136583. The reversal of 2223101136577 is 7756311013222.

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., 1573020148401 + 650080988176 = 1254201^2 + 806276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223101136577 - 2³⁵ = 2188741398209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2223101136527) 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, 1111550568288 + 1111550568289.

It is an arithmetic number, because the mean of its divisors is an integer number (1111550568289).

Almost surely, 2^{2223101136577} is an apocalyptic number.

It is an amenable number.

2223101136577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223101136577 is an equidigital number, since it uses as much as digits as its factorization.

2223101136577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 40.

Adding to 2223101136577 its reverse (7756311013222), we get a palindrome (9979412149799).

The spelling of 2223101136577 in words is "two trillion, two hundred twenty-three billion, one hundred one million, one hundred thirty-six thousand, five hundred seventy-seven".