11132101222011 has 96 divisors (see below), whose sum is σ = 21273609277440. Its totient is φ = 5437724529600.

The previous prime is 11132101222001. The next prime is 11132101222069. The reversal of 11132101222011 is 11022210123111.

It is a happy number.

11132101222011 is a `hidden beast` number, since 111 + 321 + 0 + 1 + 2 + 220 + 11 = 666.

It is not a de Polignac number, because 11132101222011 - 2¹⁸ = 11132100959867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11132101222001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4978405 + ... + 6859206.

It is an arithmetic number, because the mean of its divisors is an integer number (221600096640).

Almost surely, 2^{11132101222011} is an apocalyptic number.

11132101222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11132101222011 is a deficient number, since it is larger than the sum of its proper divisors (10141508055429).

11132101222011 is a wasteful number, since it uses less digits than its factorization.

11132101222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11837717 (or 11837714 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11132101222011 its reverse (11022210123111), we get a palindrome (22154311345122).

The spelling of 11132101222011 in words is "eleven trillion, one hundred thirty-two billion, one hundred one million, two hundred twenty-two thousand, eleven".