1000111100001 has 32 divisors (see below), whose sum is σ = 1457295372288. Its totient is φ = 606362863680.

The previous prime is 1000111099991. The next prime is 1000111100041. The reversal of 1000111100001 is 1000011110001.

It is not a de Polignac number, because 1000111100001 - 2⁹ = 1000111099489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000111100041) 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 31 ways as a sum of consecutive naturals, for example, 3881940 + ... + 4131546.

It is an arithmetic number, because the mean of its divisors is an integer number (45540480384).

Almost surely, 2^{1000111100001} is an apocalyptic number.

It is an amenable number.

1000111100001 is a deficient number, since it is larger than the sum of its proper divisors (457184272287).

1000111100001 is a wasteful number, since it uses less digits than its factorization.

1000111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251141.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000111100001 its reverse (1000011110001), we get a palindrome (2000122210002).

It can be divided in two parts, 100011110000 and 1, that added together give a palindrome (100011110001).

The spelling of 1000111100001 in words is "one trillion, one hundred eleven million, one hundred thousand, one".