10001010001011 has 16 divisors (see below), whose sum is σ = 13360532877216. Its totient is φ = 6654424679936.

The previous prime is 10001010000973. The next prime is 10001010001027. The reversal of 10001010001011 is 11010001010001.

It is a cyclic number.

It is not a de Polignac number, because 10001010001011 - 2³⁸ = 9726132094067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001010001091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212921 + ... + 4989893.

It is an arithmetic number, because the mean of its divisors is an integer number (835033304826).

Almost surely, 2^{10001010001011} is an apocalyptic number.

10001010001011 is a deficient number, since it is larger than the sum of its proper divisors (3359522876205).

10001010001011 is a wasteful number, since it uses less digits than its factorization.

10001010001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779302.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001010001011 its reverse (11010001010001), we get a palindrome (21011011011012).

The spelling of 10001010001011 in words is "ten trillion, one billion, ten million, one thousand, eleven".