2001000011011 has 8 divisors (see below), whose sum is σ = 2054770013120. Its totient is φ = 1947558877992.

The previous prime is 2001000010973. The next prime is 2001000011027. The reversal of 2001000011011 is 1101100001002.

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 2001000011011 - 2¹⁷ = 2000999879939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001000010985 and 2001000011003.

It is not an unprimeable number, because it can be changed into a prime (2001000011041) 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, 82204941 + ... + 82229278.

It is an arithmetic number, because the mean of its divisors is an integer number (256846251640).

Almost surely, 2^{2001000011011} is an apocalyptic number.

2001000011011 is a deficient number, since it is larger than the sum of its proper divisors (53770002109).

2001000011011 is a wasteful number, since it uses less digits than its factorization.

2001000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164434545.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2001000011011 its reverse (1101100001002), we get a palindrome (3102100012013).

The spelling of 2001000011011 in words is "two trillion, one billion, eleven thousand, eleven".