11217011071211 has 16 divisors (see below), whose sum is σ = 12419661787008. Its totient is φ = 10045191931200.

The previous prime is 11217011071157. The next prime is 11217011071223.

11217011071211 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-11217011071211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11217011071261) 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, 7960901 + ... + 9263366.

It is an arithmetic number, because the mean of its divisors is an integer number (776228861688).

Almost surely, 2^{11217011071211} is an apocalyptic number.

11217011071211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11217011071211 is a deficient number, since it is larger than the sum of its proper divisors (1202650715797).

11217011071211 is a wasteful number, since it uses less digits than its factorization.

11217011071211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17225162.

The product of its (nonzero) digits is 196, while the sum is 26.

It can be divided in two parts, 1121701 and 1071211, that added together give a palindrome (2192912).

The spelling of 11217011071211 in words is "eleven trillion, two hundred seventeen billion, eleven million, seventy-one thousand, two hundred eleven".