1100100002001 has 48 divisors (see below), whose sum is σ = 2004577864128. Its totient is φ = 527520470400.

The previous prime is 1100100001981. The next prime is 1100100002017. The reversal of 1100100002001 is 1002000010011.

It is not a de Polignac number, because 1100100002001 - 2¹⁵ = 1100099969233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100100002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26145670 + ... + 26187711.

It is an arithmetic number, because the mean of its divisors is an integer number (41762038836).

Almost surely, 2^{1100100002001} is an apocalyptic number.

1100100002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100100002001 is a deficient number, since it is larger than the sum of its proper divisors (904477862127).

1100100002001 is a wasteful number, since it uses less digits than its factorization.

1100100002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52333422 (or 52333415 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100100002001 its reverse (1002000010011), we get a palindrome (2102100012012).

The spelling of 1100100002001 in words is "one trillion, one hundred billion, one hundred million, two thousand, one".