101122323201 has 12 divisors (see below), whose sum is σ = 154657671012. Its totient is φ = 63449300736.

The previous prime is 101122323199. The next prime is 101122323223. The reversal of 101122323201 is 102323221101.

101122323201 is a `hidden beast` number, since 1 + 0 + 112 + 232 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43493519601 + 57628803600 = 208551^2 + 240060^2 .

It is not a de Polignac number, because 101122323201 - 2¹ = 101122323199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101122325201) 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 11 ways as a sum of consecutive naturals, for example, 330464956 + ... + 330465261.

It is an arithmetic number, because the mean of its divisors is an integer number (12888139251).

Almost surely, 2^101122323201 is an apocalyptic number.

It is an amenable number.

101122323201 is a deficient number, since it is larger than the sum of its proper divisors (53535347811).

101122323201 is a wasteful number, since it uses less digits than its factorization.

101122323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660930240 (or 660930237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101122323201 its reverse (102323221101), we get a palindrome (203445544302).

The spelling of 101122323201 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-three thousand, two hundred one".