10001010111011 has 8 divisors (see below), whose sum is σ = 10212010334544. Its totient is φ = 9792009889920.

The previous prime is 10001010110969. The next prime is 10001010111013. The reversal of 10001010111011 is 11011101010001.

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 10001010111011 - 2³⁰ = 9999936369187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001010111011.

It is not an unprimeable number, because it can be changed into a prime (10001010111013) 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 7 ways as a sum of consecutive naturals, for example, 499990505 + ... + 500010506.

It is an arithmetic number, because the mean of its divisors is an integer number (1276501291818).

Almost surely, 2^{10001010111011} is an apocalyptic number.

10001010111011 is a deficient number, since it is larger than the sum of its proper divisors (211000223533).

10001010111011 is a wasteful number, since it uses less digits than its factorization.

10001010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000001221.

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

Adding to 10001010111011 its reverse (11011101010001), we get a palindrome (21012111121012).

The spelling of 10001010111011 in words is "ten trillion, one billion, ten million, one hundred eleven thousand, eleven".