1001111101001 has 4 divisors (see below), whose sum is σ = 1092121201104. Its totient is φ = 910101000900.

The previous prime is 1001111100967. The next prime is 1001111101009. The reversal of 1001111101001 is 1001011111001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001111101001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001111101001.

It is not an unprimeable number, because it can be changed into a prime (1001111101009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45505050035 + ... + 45505050056.

It is an arithmetic number, because the mean of its divisors is an integer number (273030300276).

Almost surely, 2^{1001111101001} is an apocalyptic number.

1001111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001111101001 is a deficient number, since it is larger than the sum of its proper divisors (91010100103).

1001111101001 is an equidigital number, since it uses as much as digits as its factorization.

1001111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91010100102.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001111101001 its reverse (1001011111001), we get a palindrome (2002122212002).

The spelling of 1001111101001 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one".