1011001011001 has 4 divisors (see below), whose sum is σ = 1011661365904. Its totient is φ = 1010340656100.

The previous prime is 1011001010977. The next prime is 1011001011011. The reversal of 1011001011001 is 1001101001101.

It is a happy number.

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 1011001011001 - 2¹⁷ = 1011000879929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011001011011) 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, 330175155 + ... + 330178216.

It is an arithmetic number, because the mean of its divisors is an integer number (252915341476).

Almost surely, 2^{1011001011001} is an apocalyptic number.

It is an amenable number.

1011001011001 is a deficient number, since it is larger than the sum of its proper divisors (660354903).

1011001011001 is an equidigital number, since it uses as much as digits as its factorization.

1011001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660354902.

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

Adding to 1011001011001 its reverse (1001101001101), we get a palindrome (2012102012102).

The spelling of 1011001011001 in words is "one trillion, eleven billion, one million, eleven thousand, one".