1100111201001 has 12 divisors (see below), whose sum is σ = 1589127267312. Its totient is φ = 733371580536.

The previous prime is 1100111200997. The next prime is 1100111201003. The reversal of 1100111201001 is 1001021110011.

It is not a de Polignac number, because 1100111201001 - 2² = 1100111200997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100111201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2795751 + ... + 3164876.

It is an arithmetic number, because the mean of its divisors is an integer number (132427272276).

Almost surely, 2^{1100111201001} is an apocalyptic number.

It is an amenable number.

1100111201001 is a deficient number, since it is larger than the sum of its proper divisors (489016066311).

1100111201001 is a wasteful number, since it uses less digits than its factorization.

1100111201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981140 (or 5981137 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100111201001 its reverse (1001021110011), we get a palindrome (2101132311012).

The spelling of 1100111201001 in words is "one trillion, one hundred billion, one hundred eleven million, two hundred one thousand, one".