11102200220111 has 128 divisors (see below), whose sum is σ = 15853693040640. Its totient is φ = 7482411417600.

The previous prime is 11102200220071. The next prime is 11102200220141.

11102200220111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11102200220111 - 2⁶ = 11102200220047 is a prime.

It is a super-3 number, since 3×11102200220111³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102200220141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6130424396 + ... + 6130426206.

It is an arithmetic number, because the mean of its divisors is an integer number (123856976880).

Almost surely, 2^{11102200220111} is an apocalyptic number.

11102200220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102200220111 is a deficient number, since it is larger than the sum of its proper divisors (4751492820529).

11102200220111 is a wasteful number, since it uses less digits than its factorization.

11102200220111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 11102200 and 220111, that added together give a palindrome (11322311).

The spelling of 11102200220111 in words is "eleven trillion, one hundred two billion, two hundred million, two hundred twenty thousand, one hundred eleven".