1011101011001 has 4 divisors (see below), whose sum is σ = 1011207553104. Its totient is φ = 1010994468900.

The previous prime is 1011101010979. The next prime is 1011101011031. The reversal of 1011101011001 is 1001101011101.

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 not a de Polignac number, because 1011101011001 - 2¹⁰ = 1011101009977 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 1011101011001.

It is not an unprimeable number, because it can be changed into a prime (1011101011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53256815 + ... + 53275796.

It is an arithmetic number, because the mean of its divisors is an integer number (252801888276).

Almost surely, 2^{1011101011001} is an apocalyptic number.

It is an amenable number.

1011101011001 is a deficient number, since it is larger than the sum of its proper divisors (106542103).

1011101011001 is an equidigital number, since it uses as much as digits as its factorization.

1011101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106542102.

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

Adding to 1011101011001 its reverse (1001101011101), we get a palindrome (2012202022102).

It can be divided in two parts, 101110 and 1011001, that added together give a palindrome (1112111).

The spelling of 1011101011001 in words is "one trillion, eleven billion, one hundred one million, eleven thousand, one".