2011011220211 has 16 divisors (see below), whose sum is σ = 2330451514368. Its totient is φ = 1699622740800.

The previous prime is 2011011220193. The next prime is 2011011220217. The reversal of 2011011220211 is 1120221101102.

It is a cyclic number.

It is not a de Polignac number, because 2011011220211 - 2¹⁸ = 2011010958067 is a prime.

It is a super-2 number, since 2×2011011220211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011011220217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220246 + ... + 2347556.

It is an arithmetic number, because the mean of its divisors is an integer number (145653219648).

Almost surely, 2^{2011011220211} is an apocalyptic number.

2011011220211 is a deficient number, since it is larger than the sum of its proper divisors (319440294157).

2011011220211 is a wasteful number, since it uses less digits than its factorization.

2011011220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130882.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011011220211 its reverse (1120221101102), we get a palindrome (3131232321313).

The spelling of 2011011220211 in words is "two trillion, eleven billion, eleven million, two hundred twenty thousand, two hundred eleven".