11134034112201 has 64 divisors (see below), whose sum is σ = 20981323130880. Its totient is φ = 5057997488640.

The previous prime is 11134034112199. The next prime is 11134034112209. The reversal of 11134034112201 is 10221143043111.

It is not a de Polignac number, because 11134034112201 - 2¹ = 11134034112199 is a prime.

It is a super-2 number, since 2×11134034112201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11134034112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97512340 + ... + 97626453.

It is an arithmetic number, because the mean of its divisors is an integer number (327833173920).

Almost surely, 2^{11134034112201} is an apocalyptic number.

11134034112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11134034112201 is a deficient number, since it is larger than the sum of its proper divisors (9847289018679).

11134034112201 is a wasteful number, since it uses less digits than its factorization.

11134034112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195138846.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11134034112201 its reverse (10221143043111), we get a palindrome (21355177155312).

The spelling of 11134034112201 in words is "eleven trillion, one hundred thirty-four billion, thirty-four million, one hundred twelve thousand, two hundred one".