211211120111111 has 16 divisors (see below), whose sum is σ = 215541446335488. Its totient is φ = 206929840860000.

The previous prime is 211211120111051. The next prime is 211211120111203. The reversal of 211211120111111 is 111111021112112.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211211120111111 is a prime.

It is a super-2 number, since 2×211211120111111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211211120111111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211120111611) 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, 4482500 + ... + 21036041.

It is an arithmetic number, because the mean of its divisors is an integer number (13471340395968).

Almost surely, 2^{211211120111111} is an apocalyptic number.

211211120111111 is a deficient number, since it is larger than the sum of its proper divisors (4330326224377).

211211120111111 is a wasteful number, since it uses less digits than its factorization.

211211120111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25519502.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 211211120111111 its reverse (111111021112112), we get a palindrome (322322141223223).

The spelling of 211211120111111 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty million, one hundred eleven thousand, one hundred eleven".