1001011121011 has 8 divisors (see below), whose sum is σ = 1092066845184. Its totient is φ = 909964515720.

The previous prime is 1001011120981. The next prime is 1001011121021. The reversal of 1001011121011 is 1101211101001.

1001011121011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001011121011 - 2⁷ = 1001011120883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001011121021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049175 + ... + 2490208.

It is an arithmetic number, because the mean of its divisors is an integer number (136508355648).

Almost surely, 2^{1001011121011} is an apocalyptic number.

1001011121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001011121011 is a deficient number, since it is larger than the sum of its proper divisors (91055724173).

1001011121011 is a wasteful number, since it uses less digits than its factorization.

1001011121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559441.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001011121011 its reverse (1101211101001), we get a palindrome (2102222222012).

The spelling of 1001011121011 in words is "one trillion, one billion, eleven million, one hundred twenty-one thousand, eleven".