101122003311201 has 48 divisors (see below), whose sum is σ = 154755183684816. Its totient is φ = 63408901828608.

The previous prime is 101122003311193. The next prime is 101122003311211. The reversal of 101122003311201 is 102113300221101.

101122003311201 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 200 + 331 + 120 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6464184210576 + 94657819100625 = 2542476^2 + 9729225^2 .

It is not a de Polignac number, because 101122003311201 - 2³ = 101122003311193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101122003311211) 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 47 ways as a sum of consecutive naturals, for example, 4253637351 + ... + 4253661123.

It is an arithmetic number, because the mean of its divisors is an integer number (3224066326767).

Almost surely, 2^{101122003311201} is an apocalyptic number.

It is an amenable number.

101122003311201 is a deficient number, since it is larger than the sum of its proper divisors (53633180373615).

101122003311201 is a wasteful number, since it uses less digits than its factorization.

101122003311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40242 (or 40239 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101122003311201 its reverse (102113300221101), we get a palindrome (203235303532302).

The spelling of 101122003311201 in words is "one hundred one trillion, one hundred twenty-two billion, three million, three hundred eleven thousand, two hundred one".