1001100001111 has 16 divisors (see below), whose sum is σ = 1165266593280. Its totient is φ = 842265499680.

The previous prime is 1001100001093. The next prime is 1001100001147. The reversal of 1001100001111 is 1111000011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001100001111 - 2⁷ = 1001100000983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100001094 and 1001100001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100001411) 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, 1560571 + ... + 2106556.

It is an arithmetic number, because the mean of its divisors is an integer number (72829162080).

Almost surely, 2^{1001100001111} is an apocalyptic number.

1001100001111 is a deficient number, since it is larger than the sum of its proper divisors (164166592169).

1001100001111 is an equidigital number, since it uses as much as digits as its factorization.

1001100001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667854.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001100001111 its reverse (1111000011001), we get a palindrome (2112100012112).

The spelling of 1001100001111 in words is "one trillion, one billion, one hundred million, one thousand, one hundred eleven".