1100000000001 has 16 divisors (see below), whose sum is σ = 1774789916544. Its totient is φ = 591596638464.

The previous prime is 1099999999999. The next prime is 1100000000003. The reversal of 1100000000001 is 1000000000011.

It is an interprime number because it is at equal distance from previous prime (1099999999999) and next prime (1100000000003).

It is not a de Polignac number, because 1100000000001 - 2¹ = 1099999999999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (1100000000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540615890 + ... + 1540616603.

It is an arithmetic number, because the mean of its divisors is an integer number (110924369784).

Almost surely, 2^{1100000000001} is an apocalyptic number.

It is an amenable number.

1100000000001 is a deficient number, since it is larger than the sum of its proper divisors (674789916543).

1100000000001 is a wasteful number, since it uses less digits than its factorization.

1100000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081232520.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1100000000001 its reverse (1000000000011), we get a palindrome (2100000000012).

The spelling of 1100000000001 in words is "one trillion, one hundred billion, one", and thus it is an aban number.