11052124211601 has 160 divisors (see below), whose sum is σ = 19946163726720. Its totient is φ = 6023606860800.

The previous prime is 11052124211587. The next prime is 11052124211603. The reversal of 11052124211601 is 10611242125011.

11052124211601 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 2 + 1 + 2 + 42 + 11 + 601 = 666.

It is not a de Polignac number, because 11052124211601 - 2¹³ = 11052124203409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11052124211603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25466115 + ... + 25896471.

It is an arithmetic number, because the mean of its divisors is an integer number (124663523292).

Almost surely, 2^{11052124211601} is an apocalyptic number.

11052124211601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11052124211601 is a deficient number, since it is larger than the sum of its proper divisors (8894039515119).

11052124211601 is a wasteful number, since it uses less digits than its factorization.

11052124211601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430477 (or 430468 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 11052124211601 its reverse (10611242125011), we get a palindrome (21663366336612).

The spelling of 11052124211601 in words is "eleven trillion, fifty-two billion, one hundred twenty-four million, two hundred eleven thousand, six hundred one".