1100100000001 has 8 divisors (see below), whose sum is σ = 1100576159424. Its totient is φ = 1099623945840.

The previous prime is 1100099999989. The next prime is 1100100000007. The reversal of 1100100000001 is 1000000010011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100100000001 - 2¹⁵ = 1100099967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100100000007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26238811 + ... + 26280703.

It is an arithmetic number, because the mean of its divisors is an integer number (137572019928).

Almost surely, 2^{1100100000001} is an apocalyptic number.

It is an amenable number.

1100100000001 is a deficient number, since it is larger than the sum of its proper divisors (476159423).

1100100000001 is an equidigital number, since it uses as much as digits as its factorization.

1100100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52631.

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

Adding to 1100100000001 its reverse (1000000010011), we get a palindrome (2100100010012).

The spelling of 1100100000001 in words is "one trillion, one hundred billion, one hundred million, one", and thus it is an aban number.