2011011001 has 4 divisors (see below), whose sum is σ = 2011130100. Its totient is φ = 2010891904.

The previous prime is 2011010987. The next prime is 2011011007. The reversal of 2011011001 is 1001101102.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1001101102 = 2 ⋅500550551.

It can be written as a sum of positive squares in 2 ways, for example, as 998244025 + 1012766976 = 31595^2 + 31824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011011001 - 2¹⁷ = 2010879929 is a prime.

It is a super-2 number, since 2×2011011001² = 8088330492286044002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011011007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28996 + ... + 69733.

It is an arithmetic number, because the mean of its divisors is an integer number (502782525).

Almost surely, 2^2011011001 is an apocalyptic number.

It is an amenable number.

2011011001 is a deficient number, since it is larger than the sum of its proper divisors (119099).

2011011001 is an equidigital number, since it uses as much as digits as its factorization.

2011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119098.

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

The square root of 2011011001 is about 44844.2973074615. The cubic root of 2011011001 is about 1262.2289849400.

Adding to 2011011001 its reverse (1001101102), we get a palindrome (3012112103).

The spelling of 2011011001 in words is "two billion, eleven million, eleven thousand, one".