1111001105601 has 6 divisors (see below), whose sum is σ = 1604779374770. Its totient is φ = 740667403728.

The previous prime is 1111001105593. The next prime is 1111001105651. The reversal of 1111001105601 is 1065011001111.

It is a happy number.

1111001105601 is a `hidden beast` number, since 1 + 1 + 1 + 100 + 1 + 1 + 0 + 560 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 907170527025 + 203830578576 = 952455^2 + 451476^2 .

It is not a de Polignac number, because 1111001105601 - 2³ = 1111001105593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111001105651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61722283636 + ... + 61722283653.

Almost surely, 2^{1111001105601} is an apocalyptic number.

It is an amenable number.

1111001105601 is a deficient number, since it is larger than the sum of its proper divisors (493778269169).

1111001105601 is a wasteful number, since it uses less digits than its factorization.

1111001105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123444567295 (or 123444567292 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 1111001105601 its reverse (1065011001111), we get a palindrome (2176012106712).

The spelling of 1111001105601 in words is "one trillion, one hundred eleven billion, one million, one hundred five thousand, six hundred one".