1100020100001 has 16 divisors (see below), whose sum is σ = 1506687168768. Its totient is φ = 713359180800.

The previous prime is 1100020099993. The next prime is 1100020100009. The reversal of 1100020100001 is 1000010200011.

It is an interprime number because it is at equal distance from previous prime (1100020099993) and next prime (1100020100009).

It is not a de Polignac number, because 1100020100001 - 2³ = 1100020099993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100020100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686080 + ... + 1634241.

It is an arithmetic number, because the mean of its divisors is an integer number (94167948048).

Almost surely, 2^{1100020100001} is an apocalyptic number.

It is an amenable number.

1100020100001 is a deficient number, since it is larger than the sum of its proper divisors (406667068767).

1100020100001 is a wasteful number, since it uses less digits than its factorization.

1100020100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324632.

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

Adding to 1100020100001 its reverse (1000010200011), we get a palindrome (2100030300012).

It can be divided in two parts, 1100020 and 100001, that added together give a palindrome (1200021).

The spelling of 1100020100001 in words is "one trillion, one hundred billion, twenty million, one hundred thousand, one".