11211012122111 has 16 divisors (see below), whose sum is σ = 11774071540224. Its totient is φ = 10654267619424.

The previous prime is 11211012122069. The next prime is 11211012122119. The reversal of 11211012122111 is 11122121011211.

11211012122111 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 11211012122111 - 2⁶ = 11211012122047 is a prime.

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 11211012122111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211012122119) 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, 39590750 + ... + 39872916.

It is an arithmetic number, because the mean of its divisors is an integer number (735879471264).

Almost surely, 2^{11211012122111} is an apocalyptic number.

11211012122111 is a deficient number, since it is larger than the sum of its proper divisors (563059418113).

11211012122111 is a wasteful number, since it uses less digits than its factorization.

11211012122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293350.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11211012122111 its reverse (11122121011211), we get a palindrome (22333133133322).

The spelling of 11211012122111 in words is "eleven trillion, two hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred eleven".