11101200210111 has 32 divisors (see below), whose sum is σ = 17030844794880. Its totient is φ = 6361222917600.

The previous prime is 11101200210059. The next prime is 11101200210143.

11101200210111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11101200210111 - 2²⁷ = 11101065992383 is a prime.

It is a super-2 number, since 2×11101200210111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101200210161) 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, 17284285 + ... + 17915046.

It is an arithmetic number, because the mean of its divisors is an integer number (532213899840).

Almost surely, 2^{11101200210111} is an apocalyptic number.

11101200210111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101200210111 is a deficient number, since it is larger than the sum of its proper divisors (5929644584769).

11101200210111 is a wasteful number, since it uses less digits than its factorization.

11101200210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35199867.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 11101200 and 210111, that added together give a palindrome (11311311).

The spelling of 11101200210111 in words is "eleven trillion, one hundred one billion, two hundred million, two hundred ten thousand, one hundred eleven".