1100010000001 has 64 divisors (see below), whose sum is σ = 1264387424256. Its totient is φ = 948292531200.

The previous prime is 1100009999999. The next prime is 1100010000017. The reversal of 1100010000001 is 1000000100011.

It is a cyclic number.

It is not a de Polignac number, because 1100010000001 - 2¹ = 1100009999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100010000601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600769156 + ... + 600770986.

It is an arithmetic number, because the mean of its divisors is an integer number (19756053504).

Almost surely, 2^{1100010000001} is an apocalyptic number.

1100010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100010000001 is a deficient number, since it is larger than the sum of its proper divisors (164377424255).

1100010000001 is a wasteful number, since it uses less digits than its factorization.

1100010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1100010000001 its reverse (1000000100011), we get a palindrome (2100010100012).

It can be divided in two parts, 11000 and 10000001, that added together give a palindrome (10011001).

The spelling of 1100010000001 in words is "one trillion, one hundred billion, ten million, one", and thus it is an aban number.