11211100111211 has 32 divisors (see below), whose sum is σ = 15131475910656. Its totient is φ = 8021708496000.

The previous prime is 11211100111201. The next prime is 11211100111217.

11211100111211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11211100111211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11211100111217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29127920 + ... + 29510301.

It is an arithmetic number, because the mean of its divisors is an integer number (472858622208).

Almost surely, 2^{11211100111211} is an apocalyptic number.

11211100111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11211100111211 is a deficient number, since it is larger than the sum of its proper divisors (3920375799445).

11211100111211 is a wasteful number, since it uses less digits than its factorization.

11211100111211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58638443.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 11211100 and 111211, that added together give a palindrome (11322311).

The spelling of 11211100111211 in words is "eleven trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, two hundred eleven".