10611105511001 has 2 divisors, whose sum is σ = 10611105511002. Its totient is φ = 10611105511000.

The previous prime is 10611105510917. The next prime is 10611105511003. The reversal of 10611105511001 is 10011550111601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10610159640976 + 945870025 = 3257324^2 + 30755^2 .

It is a cyclic number.

It is not a de Polignac number, because 10611105511001 - 2³⁸ = 10336227604057 is a prime.

It is a super-2 number, since 2×10611105511001² (a number of 27 digits) contains 22 as substring.

Together with 10611105511003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10611105511003) 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, 5305552755500 + 5305552755501.

It is an arithmetic number, because the mean of its divisors is an integer number (5305552755501).

Almost surely, 2^{10611105511001} is an apocalyptic number.

It is an amenable number.

10611105511001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10611105511001 is an equidigital number, since it uses as much as digits as its factorization.

10611105511001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 23.

Adding to 10611105511001 its reverse (10011550111601), we get a palindrome (20622655622602).

The spelling of 10611105511001 in words is "ten trillion, six hundred eleven billion, one hundred five million, five hundred eleven thousand, one".