11100112102211 has 16 divisors (see below), whose sum is σ = 12246678943200. Its totient is φ = 9976482278400.

The previous prime is 11100112102169. The next prime is 11100112102319. The reversal of 11100112102211 is 11220121100111.

It is not a de Polignac number, because 11100112102211 - 2¹⁸ = 11100111840067 is a prime.

It is a super-2 number, since 2×11100112102211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11100112102411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7929935 + ... + 9224103.

It is an arithmetic number, because the mean of its divisors is an integer number (765417433950).

Almost surely, 2^{11100112102211} is an apocalyptic number.

11100112102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100112102211 is a deficient number, since it is larger than the sum of its proper divisors (1146566840989).

11100112102211 is a wasteful number, since it uses less digits than its factorization.

11100112102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303030.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11100112102211 its reverse (11220121100111), we get a palindrome (22320233202322).

The spelling of 11100112102211 in words is "eleven trillion, one hundred billion, one hundred twelve million, one hundred two thousand, two hundred eleven".