2011001000001 has 128 divisors (see below), whose sum is σ = 3334588784640. Its totient is φ = 1052739072000.

The previous prime is 2011000999963. The next prime is 2011001000003. The reversal of 2011001000001 is 1000001001102.

It is not a de Polignac number, because 2011001000001 - 2⁷ = 2011000999873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011001000003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1674438201 + ... + 1674439401.

It is an arithmetic number, because the mean of its divisors is an integer number (26051474880).

Almost surely, 2^{2011001000001} is an apocalyptic number.

2011001000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011001000001 is a deficient number, since it is larger than the sum of its proper divisors (1323587784639).

2011001000001 is a wasteful number, since it uses less digits than its factorization.

2011001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2011001000001 its reverse (1000001001102), we get a palindrome (3011002001103).

The spelling of 2011001000001 in words is "two trillion, eleven billion, one million, one", and thus it is an aban number and an uban number.