211211122112011 has 16 divisors (see below), whose sum is σ = 244338175468800. Its totient is φ = 178832273698080.

The previous prime is 211211122111967. The next prime is 211211122112017. The reversal of 211211122112011 is 110211221112112.

211211122112011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211211122112011 - 2¹⁹ = 211211121587723 is a prime.

It is a super-2 number, since 2×211211122112011² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211211122112011.

It is not an unprimeable number, because it can be changed into a prime (211211122112017) 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, 403736905 + ... + 404259706.

It is an arithmetic number, because the mean of its divisors is an integer number (15271135966800).

Almost surely, 2^{211211122112011} is an apocalyptic number.

211211122112011 is a deficient number, since it is larger than the sum of its proper divisors (33127053356789).

211211122112011 is a wasteful number, since it uses less digits than its factorization.

211211122112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807997074.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 211211122112011 its reverse (110211221112112), we get a palindrome (321422343224123).

The spelling of 211211122112011 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, eleven".