2001011122011 has 64 divisors (see below), whose sum is σ = 2978021376000. Its totient is φ = 1185009571200.

The previous prime is 2001011121959. The next prime is 2001011122027. The reversal of 2001011122011 is 1102211101002.

It is not a de Polignac number, because 2001011122011 - 2¹⁰ = 2001011120987 is a prime.

It is a super-2 number, since 2×2001011122011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001011120011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98083390 + ... + 98103788.

It is an arithmetic number, because the mean of its divisors is an integer number (46531584000).

Almost surely, 2^{2001011122011} is an apocalyptic number.

2001011122011 is a deficient number, since it is larger than the sum of its proper divisors (977010253989).

2001011122011 is a wasteful number, since it uses less digits than its factorization.

2001011122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20880.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2001011122011 its reverse (1102211101002), we get a palindrome (3103222223013).

The spelling of 2001011122011 in words is "two trillion, one billion, eleven million, one hundred twenty-two thousand, eleven".