11123213101 has 108 divisors (see below), whose sum is σ = 16331566356. Its totient is φ = 7518551040.

The previous prime is 11123213081. The next prime is 11123213119. The reversal of 11123213101 is 10131232111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1560329001 + 9562884100 = 39501^2 + 97790^2 .

It is not a de Polignac number, because 11123213101 - 2⁵ = 11123213069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123213131) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17033691 + ... + 17034343.

It is an arithmetic number, because the mean of its divisors is an integer number (151218207).

Almost surely, 2^11123213101 is an apocalyptic number.

11123213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11123213101 is a deficient number, since it is larger than the sum of its proper divisors (5208353255).

11123213101 is a wasteful number, since it uses less digits than its factorization.

11123213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11123213101 its reverse (10131232111), we get a palindrome (21254445212).

The spelling of 11123213101 in words is "eleven billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred one".