1100010100001 has 16 divisors (see below), whose sum is σ = 1149987815424. Its totient is φ = 1050212461584.

The previous prime is 1100010099989. The next prime is 1100010100003. The reversal of 1100010100001 is 1000010100011.

It is a cyclic number.

It is not a de Polignac number, because 1100010100001 - 2¹⁴ = 1100010083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100010100003) 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, 112897736 + ... + 112907478.

It is an arithmetic number, because the mean of its divisors is an integer number (71874238464).

Almost surely, 2^{1100010100001} is an apocalyptic number.

It is an amenable number.

1100010100001 is a deficient number, since it is larger than the sum of its proper divisors (49977715423).

1100010100001 is an equidigital number, since it uses as much as digits as its factorization.

1100010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18460.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1100010100001 its reverse (1000010100011), we get a palindrome (2100020200012).

The spelling of 1100010100001 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one".