11011100212101 has 16 divisors (see below), whose sum is σ = 16042531534848. Its totient is φ = 6662399996400.

The previous prime is 11011100212061. The next prime is 11011100212187. The reversal of 11011100212101 is 10121200111011.

It is not a de Polignac number, because 11011100212101 - 2¹⁰ = 11011100211077 is a prime.

It is a super-3 number, since 3×11011100212101³ (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 (11011100212501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274831455 + ... + 274871516.

It is an arithmetic number, because the mean of its divisors is an integer number (1002658220928).

Almost surely, 2^{11011100212101} is an apocalyptic number.

11011100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011100212101 is a deficient number, since it is larger than the sum of its proper divisors (5031431322747).

11011100212101 is a wasteful number, since it uses less digits than its factorization.

11011100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549703592.

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

Adding to 11011100212101 its reverse (10121200111011), we get a palindrome (21132300323112).

The spelling of 11011100212101 in words is "eleven trillion, eleven billion, one hundred million, two hundred twelve thousand, one hundred one".