1100667105617 has 2 divisors, whose sum is σ = 1100667105618. Its totient is φ = 1100667105616.

The previous prime is 1100667105547. The next prime is 1100667105631. The reversal of 1100667105617 is 7165017660011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 780962805841 + 319704299776 = 883721^2 + 565424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100667105617 is a prime.

It is a super-2 number, since 2×1100667105617² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1100663105617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550333552808 + 550333552809.

It is an arithmetic number, because the mean of its divisors is an integer number (550333552809).

Almost surely, 2^{1100667105617} is an apocalyptic number.

It is an amenable number.

1100667105617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100667105617 is an equidigital number, since it uses as much as digits as its factorization.

1100667105617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 1100667105617 in words is "one trillion, one hundred billion, six hundred sixty-seven million, one hundred five thousand, six hundred seventeen".