1101100611667 has 32 divisors (see below), whose sum is σ = 1347420552192. Its totient is φ = 880012957824.

The previous prime is 1101100611647. The next prime is 1101100611671. The reversal of 1101100611667 is 7661160011011.

It is not a de Polignac number, because 1101100611667 - 2⁷ = 1101100611539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101100611647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342463 + ... + 1522984.

It is an arithmetic number, because the mean of its divisors is an integer number (42106892256).

Almost surely, 2^{1101100611667} is an apocalyptic number.

1101100611667 is a deficient number, since it is larger than the sum of its proper divisors (246319940525).

1101100611667 is a wasteful number, since it uses less digits than its factorization.

1101100611667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865587.

The product of its (nonzero) digits is 1512, while the sum is 31.

Adding to 1101100611667 its reverse (7661160011011), we get a palindrome (8762260622678).

The spelling of 1101100611667 in words is "one trillion, one hundred one billion, one hundred million, six hundred eleven thousand, six hundred sixty-seven".