11011100002561 has 2 divisors, whose sum is σ = 11011100002562. Its totient is φ = 11011100002560.

The previous prime is 11011100002543. The next prime is 11011100002571. The reversal of 11011100002561 is 16520000111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8860861958400 + 2150238044161 = 2976720^2 + 1466369^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011100002561 - 2²⁹ = 11010563131649 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011100002531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505550001280 + 5505550001281.

It is an arithmetic number, because the mean of its divisors is an integer number (5505550001281).

Almost surely, 2^{11011100002561} is an apocalyptic number.

It is an amenable number.

11011100002561 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011100002561 is an equidigital number, since it uses as much as digits as its factorization.

11011100002561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 11011100002561 its reverse (16520000111011), we get a palindrome (27531100113572).

The spelling of 11011100002561 in words is "eleven trillion, eleven billion, one hundred million, two thousand, five hundred sixty-one".