1110111100661 has 2 divisors, whose sum is σ = 1110111100662. Its totient is φ = 1110111100660.

The previous prime is 1110111100649. The next prime is 1110111100669. The reversal of 1110111100661 is 1660011110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1018698601636 + 91412499025 = 1009306^2 + 302345^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1990011110111 and 1110111100991.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1110111100661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110111100669) 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, 555055550330 + 555055550331.

It is an arithmetic number, because the mean of its divisors is an integer number (555055550331).

Almost surely, 2^{1110111100661} is an apocalyptic number.

It is an amenable number.

1110111100661 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110111100661 is an equidigital number, since it uses as much as digits as its factorization.

1110111100661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 1110111100661 its reverse (1660011110111), we get a palindrome (2770122210772).

The spelling of 1110111100661 in words is "one trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, six hundred sixty-one".